Pin on Year 7 Algebra Basics - Worksheets Library - Free Printable

I'll solve each equation step by step to find the value of y.

Let me work through all 20 problems:

1. 5 - y = 2
Subtract 5 from both sides: -y = 2 - 5 = -3
Multiply by -1: y = 3

2. 2 - y = -1
Subtract 2 from both sides: -y = -1 - 2 = -3
Multiply by -1: y = 3

3. 8 - y = 5
Subtract 8 from both sides: -y = 5 - 8 = -3
Multiply by -1: y = 3

4. y - 5 = 4
Add 5 to both sides: y = 4 + 5 = 9

5. y + 4 = 7
Subtract 4 from both sides: y = 7 - 4 = 3

6. y + 8 = 15
Subtract 8 from both sides: y = 15 - 8 = 7

7. y + 4 = 13
Subtract 4 from both sides: y = 13 - 4 = 9

8. y + 5 = 14
Subtract 5 from both sides: y = 14 - 5 = 9

9. y - 3 = 6
Add 3 to both sides: y = 6 + 3 = 9

10. y + 5 = 11
Subtract 5 from both sides: y = 11 - 5 = 6

11. y + 7 = 13
Subtract 7 from both sides: y = 13 - 7 = 6

12. y - 5 = 0
Add 5 to both sides: y = 0 + 5 = 5

13. y + 6 = 13
Subtract 6 from both sides: y = 13 - 6 = 7

14. y - 5 = -2
Add 5 to both sides: y = -2 + 5 = 3

15. y - 8 = -4
Add 8 to both sides: y = -4 + 8 = 4

16. y + 9 = 18
Subtract 9 from both sides: y = 18 - 9 = 9

17. y + 3 = 12
Subtract 3 from both sides: y = 12 - 3 = 9

18. 1 - y = -4
Subtract 1 from both sides: -y = -4 - 1 = -5
Multiply by -1: y = 5

19. y - 5 = 1
Add 5 to both sides: y = 1 + 5 = 6

20. 6 - y = -2
Subtract 6 from both sides: -y = -2 - 6 = -8
Multiply by -1: y = 8

Let me verify a few of these to make sure they're correct:
- Problem 1: 5 - 3 = 2 ✓
- Problem 4: 9 - 5 = 4 ✓
- Problem 14: 3 - 5 = -2 ✓
- Problem 18: 1 - 5 = -4 ✓
- Problem 20: 6 - 8 = -2 ✓

All calculations check out!

Final Answer:
1. y = 3
2. y = 3
3. y = 3
4. y = 9
5. y = 3
6. y = 7
7. y = 9
8. y = 9
9. y = 9
10. y = 6
11. y = 6
12. y = 5
13. y = 7
14. y = 3
15. y = 4
16. y = 9
17. y = 9
18. y = 5
19. y = 6
20. y = 8