Your puzzle has 131,076 solutions, so some guessing is needed to find any of them. Here's one of the ways that

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1. The value 8 in Box [1,3] must lie in Column 7.

- The moves (2,8):=8 and (3,8):=8 have been eliminated.

The cell (5,6) is one of 2 candidates for the value 7 in Column 6.

2. The cell (9,5) is the only candidate for the value 7 in Row 9.

3. The value 9 in Box [1,2] must lie in Column 6.

- The moves (1,4):=9 and (2,4):=9 have been eliminated.

The cell (1,3) is one of 2 candidates for the value 8 in Column 3.

4. The cell (5,1) is the only candidate for the value 8 in Column 1.

5. The cell (3,7) is the only candidate for the value 8 in Column 7.

6. The value 7 in Box [2,1] must lie in Column 3.

- The moves (4,2):=7 and (6,2):=7 have been eliminated.

The cell (8,2) is one of 2 candidates for the value 5 in Box [3,1].

7. The cell (3,1) is the only candidate for the value 5 in Column 1.

8. The cell (4,9) is one of 2 candidates for the value 5 in Column 9.

9. The cell (9,8) is the only candidate for the value 5 in Row 9.

10. The value 7 in Box [1,3] must lie in Column 9.

- The move (2,8):=7 has been eliminated.

The cell (9,7) is one of 2 candidates for the value 6 in Column 7.

11. The cell (5,9) is the only candidate for the value 6 in Column 9.

12. The value 1 is the only candidate for the cell (5,5).

13. The value 9 is the only candidate for the cell (5,4).

14. The value 4 in Box [1,3] must lie in Column 9.

- The moves (2,8):=4 and (3,8):=4 have been eliminated.

The value 6 in Box [1,2] must lie in Column 6.

- The moves (2,4):=6, (2,5):=6 and (3,5):=6 have been eliminated.

The values 1, 4, 7 and 9 occupy the cells (4,2), (4,3), (4,7) and (4,8) in some order.

- The move (4,2):=2 has been eliminated.

The value 2 in Box [2,2] must lie in Row 4.

- The moves (6,4):=2 and (6,5):=2 have been eliminated.

The cell (7,2) is one of 2 candidates for the value 2 in Column 2.

15. The cell (6,1) is the only candidate for the value 2 in Row 6.

16. The value 4 in Box [2,1] must lie in Column 2.

- The move (4,3):=4 has been eliminated.

The cell (2,8) is one of 2 candidates for the value 2 in Column 8.

17. The 14 permutations of Row 2 and 12 permutations of Row 3 combine legally in 19 different ways.

Row 2:

1-6-3-4-8-9-5-2-7

1-7-3-4-8-6-5-2-9

1-9-3-4-8-6-5-2-7

1-6-3-8-4-9-5-2-7

1-7-3-8-4-6-5-2-9

1-9-3-8-4-6-5-2-7

9-1-3-4-8-6-5-2-7

9-1-3-8-4-6-5-2-7

9-6-3-1-4-8-5-2-7

9-7-3-1-8-6-5-2-4

9-6-3-4-8-1-5-2-7

9-6-3-8-4-1-5-2-7

9-7-3-4-8-6-5-2-1

9-7-3-8-4-6-5-2-1

Row 3:

5-1-2-7-3-6-8-9-4

5-1-2-7-4-6-8-3-9

5-1-2-7-4-6-8-9-3

5-6-2-7-3-1-8-9-4

5-6-2-7-4-1-8-3-9

5-6-2-7-4-1-8-9-3

5-6-2-7-3-9-8-1-4

5-9-2-7-3-6-8-1-4

5-6-2-7-4-9-8-1-3

5-9-2-7-4-6-8-1-3

5-6-2-7-4-9-8-3-1

5-9-2-7-4-6-8-3-1

No combination has the value 9 as a candidate for the cell (3,9).

- The move (3,9):=9 has been eliminated.

The cell (5,8) is one of 2 candidates for the value 3 in Row 5.

18. The value 4 is the only candidate for the cell (5,2).

19. The cell (1,7) is the only candidate for the value 3 in Column 7.

20. The cell (3,5) is the only candidate for the value 3 in Row 3.

21. The cell (3,9) is the only candidate for the value 4 in Row 3.

22. The cell (6,2) is the only candidate for the value 3 in Row 6.

23. The cell (4,8) is the only candidate for the value 4 in Row 4.

24. The cell (4,3) is the only candidate for the value 7 in Row 4.

25. The cell (6,8) is the only candidate for the value 7 in Row 6.

26. The 7 permutations of Row 8 and 12 permutations of Row 9 combine legally in 16 different ways.

Row 8:

7-5-6-1-9-2-4-8-3

7-5-6-2-9-1-4-8-3

7-5-6-3-9-1-4-8-2

7-5-6-2-9-8-4-1-3

7-5-6-8-9-2-4-1-3

7-5-6-3-9-8-4-1-2

7-5-6-3-9-2-4-8-1

Row 9:

1-8-4-3-7-2-6-5-9

1-8-9-4-7-2-6-5-3

3-8-1-4-7-2-6-5-9

9-8-1-4-7-2-6-5-3

3-8-4-1-7-2-6-5-9

9-8-4-1-7-2-6-5-3

3-8-4-2-7-1-6-5-9

9-8-4-2-7-1-6-5-3

3-8-9-4-7-1-6-5-2

9-8-4-3-7-1-6-5-2

3-8-9-4-7-2-6-5-1

9-8-4-3-7-2-6-5-1

No combination has the value 1 as a candidate for the cell (8,4).

- The move (8,4):=1 has been eliminated.

The 8 permutations of Column 6 and 3 permutations of Column 8 combine legally in 9 different ways.

Column 6:

1-6-9-3-7-4-5-8-2

1-9-6-3-7-4-5-8-2

9-1-6-3-7-4-5-8-2

9-6-1-3-7-4-5-8-2

9-8-6-3-7-4-5-1-2

2-6-9-3-7-4-5-8-1

2-9-6-3-7-4-5-8-1

9-8-6-3-7-4-5-2-1

Column 8:

6-2-1-4-3-7-9-8-5

6-2-9-4-3-7-1-8-5

6-2-9-4-3-7-8-1-5

No combination has the value 9 as a candidate for the cell (3,6).

- The move (3,6):=9 has been eliminated.

The 13 permutations of Row 2 and 3 permutations of Row 3 combine legally in 11 different ways.

Row 2:

1-6-3-4-8-9-5-2-7

1-7-3-4-8-6-5-2-9

1-9-3-4-8-6-5-2-7

1-6-3-8-4-9-5-2-7

1-7-3-8-4-6-5-2-9

1-9-3-8-4-6-5-2-7

9-1-3-4-8-6-5-2-7

9-1-3-8-4-6-5-2-7

9-6-3-1-4-8-5-2-7

9-6-3-4-8-1-5-2-7

9-6-3-8-4-1-5-2-7

9-7-3-4-8-6-5-2-1

9-7-3-8-4-6-5-2-1

Row 3:

5-1-2-7-3-6-8-9-4

5-6-2-7-3-1-8-9-4

5-9-2-7-3-6-8-1-4

In each combination, the value 9 in Box [1,1] appears in Row 2 or Row 3.

No combination has the value 9 as a candidate for the cell (2,9).

- The moves (1,2):=9 and (2,9):=9 have been eliminated.

The cell (4,2) is one of 2 candidates for the value 1 in Row 4.

27. The value 9 is the only candidate for the cell (6,3).

28. The value 7 is the only candidate for the cell (1,2).

29. The value 9 is the only candidate for the cell (4,7).

30. The value 1 is the only candidate for the cell (6,7).

31. The cell (2,1) is the only candidate for the value 1 in Box [1,1].

32. The value 7 is the only candidate for the cell (2,9).

33. The values 6 and 9 occupy the cells (2,2) and (2,6) in some order.

- The move (2,6):=8 has been eliminated.

The cell (8,6) is the only candidate for the value 8 in Column 6.

34. The value 1 is the only candidate for the cell (8,8).

35. The value 9 is the only candidate for the cell (3,8).

36. The value 1 is the only candidate for the cell (1,9).

37. The value 6 is the only candidate for the cell (3,2).

38. The value 9 is the only candidate for the cell (2,2).

39. The value 1 is the only candidate for the cell (3,6).

40. The value 2 is the only candidate for the cell (9,6).

41. The value 3 is the only candidate for the cell (8,4).

42. The value 9 is the only candidate for the cell (1,6).

43. The value 6 is the only candidate for the cell (2,6).

44. The value 8 is the only candidate for the cell (7,8).

45. The value 2 is the only candidate for the cell (8,9).

46. The cell (9,4) is one of 2 candidates for the value 4 in Row 9.

47. The value 8 is the only candidate for the cell (2,4).

48. The value 2 is the only candidate for the cell (4,4).

49. The value 5 is the only candidate for the cell (1,4).

50. The value 6 is the only candidate for the cell (6,4).

51. The value 1 is the only candidate for the cell (7,4).

52. The value 2 is the only candidate for the cell (1,5).

53. The value 4 is the only candidate for the cell (2,5).

54. The value 8 is the only candidate for the cell (4,5).

55. The value 5 is the only candidate for the cell (6,5).

56. The value 4 is the only candidate for the cell (7,3).

57. The value 6 is the only candidate for the cell (7,5).

58. The value 1 is the only candidate for the cell (9,3).

59. The cell (7,1) is one of 2 candidates for the value 3 in Row 7.

60. The value 9 is the only candidate for the cell (7,9).

61. The value 9 is the only candidate for the cell (9,1).

62. The value 3 is the only candidate for the cell (9,9).