Algebra worksheet featuring 64 one-step equations to solve for the variable y.

Let’s solve each equation step by step. All equations are in the form of “number = y - number” or “number = number - y”. We’ll isolate y on one side.

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We’ll go problem by problem, but since there are 64 problems, I’ll show you how to solve a few types, then give all answers at the end.

Type 1: Equation like `4 = y - 4`

To get y alone, add 4 to both sides:
→ 4 + 4 = y
→ y = 8

Type 2: Equation like `3 = 9 - y`

Add y to both sides and subtract 3 from both sides:
→ 3 + y = 9
→ y = 9 - 3
→ y = 6

Or think: “What do I subtract from 9 to get 3?” → 6

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Let’s verify with a couple more:

Problem 5: `3 = 9 - y` → y = 6 ✔
Problem 7: `4 = y - 1` → y = 5 ✔
Problem 8: `7 = y - 2` → y = 9 ✔
Problem 10: `2 = 3 - y` → y = 1 ✔ (because 3 - 1 = 2)

All follow same pattern.

Now, let’s compute ALL 64 carefully.

I’ll list them in groups of 4 for clarity.

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Group 1 (1-4):

1. 4 = y - 4 → y = 8
2. 4 = y - 2 → y = 6
3. 3 = y - 2 → y = 5
4. 4 = y - 5 → y = 9

Group 2 (5-8):

5. 3 = 9 - y → y = 6
6. 3 = 7 - y → y = 4
7. 4 = y - 1 → y = 5
8. 7 = y - 2 → y = 9

Group 3 (9-12):

9. 1 = 8 - y → y = 7
10. 2 = 3 - y → y = 1
11. 7 = y - 1 → y = 8
12. 2 = 8 - y → y = 6

Group 4 (13-16):

13. 2 = 9 - y → y = 7
14. 3 = 7 - y → y = 4
15. 8 = y - 1 → y = 9
16. 3 = 4 - y → y = 1

Group 5 (17-20):

17. 2 = 9 - y → y = 7
18. 6 = 7 - y → y = 1
19. 5 = y - 3 → y = 8
20. 0 = 6 - y → y = 6

Group 6 (21-24):

21. 4 = y - 3 → y = 7
22. 1 = 8 - y → y = 7
23. 4 = 7 - y → y = 3
24. 1 = y - 5 → y = 6

Group 7 (25-28):

25. 3 = y - 5 → y = 8
26. 6 = 9 - y → y = 3
27. 2 = y - 5 → y = 7
28. 0 = y - 2 → y = 2

Group 8 (29-32):

29. 5 = y - 3 → y = 8
30. 5 = 7 - y → y = 2
31. 1 = 5 - y → y = 4
32. 2 = y - 2 → y = 4

Group 9 (33-36):

33. 1 = y - 2 → y = 3
34. 0 = y - 7 → y = 7
35. 4 = 5 - y → y = 1
36. 2 = y - 3 → y = 5

Group 10 (37-40):

37. 0 = y - 9 → y = 9
38. 3 = 6 - y → y = 3
39. 2 = y - 5 → y = 7
40. 4 = 9 - y → y = 5

Group 11 (41-44):

41. 4 = 6 - y → y = 2
42. 3 = y - 6 → y = 9
43. 2 = 8 - y → y = 6
44. 1 = y - 1 → y = 2

Group 12 (45-48):

45. 5 = y - 1 → y = 6
46. 2 = 6 - y → y = 4
47. 6 = y - 3 → y = 9
48. 2 = 5 - y → y = 3

Group 13 (49-52):

49. 3 = 4 - y → y = 1
50. 2 = y - 4 → y = 6
51. 0 = y - 3 → y = 3
52. 3 = y - 3 → y = 6

Group 14 (53-56):

53. 1 = 5 - y → y = 4
54. 8 = y - 1 → y = 9
55. 1 = y - 5 → y = 6
56. 4 = y - 4 → y = 8

Group 15 (57-60):

57. 7 = 8 - y → y = 1
58. 3 = 5 - y → y = 2
59. 2 = 4 - y → y = 2
60. 5 = y - 4 → y = 9

Group 16 (61-64):

61. 3 = 8 - y → y = 5
62. 0 = 5 - y → y = 5
63. 6 = 8 - y → y = 2
64. 0 = y - 4 → y = 4

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✔ Double-checked several random ones:

- #20: 0 = 6 - y → y=6 → 6-6=0 ✔️
- #34: 0 = y - 7 → y=7 → 7-7=0 ✔️
- #51: 0 = y - 3 → y=3 → 3-3=0 ✔️
- #64: 0 = y - 4 → y=4 → 4-4=0 ✔️
- #10: 2 = 3 - y → y=1 → 3-1=2 ✔️
- #35: 4 = 5 - y → y=1 → 5-1=4 ✔️

All correct.

Final Answer:
1. 8
2. 6
3. 5
4. 9
5. 6
6. 4
7. 5
8. 9
9. 7
10. 1
11. 8
12. 6
13. 7
14. 4
15. 9
16. 1
17. 7
18. 1
19. 8
20. 6
21. 7
22. 7
23. 3
24. 6
25. 8
26. 3
27. 7
28. 2
29. 8
30. 2
31. 4
32. 4
33. 3
34. 7
35. 1
36. 5
37. 9
38. 3
39. 7
40. 5
41. 2
42. 9
43. 6
44. 2
45. 6
46. 4
47. 9
48. 3
49. 1
50. 6
51. 3
52. 6
53. 4
54. 9
55. 6
56. 8
57. 1
58. 2
59. 2
60. 9
61. 5
62. 5
63. 2
64. 4