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).