Algebra - Worksheet Digital - Free Printable

Here are the solutions for each algebra problem on the worksheet. To solve these, we need to get the variable y by itself on one side of the equal sign.

1. y - 7 = -5
Add 7 to both sides: $y = -5 + 7$
$y = 2$

2. 4 + y = 5
Subtract 4 from both sides: $y = 5 - 4$
$y = 1$

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

4. 5 - y = -2
Subtract 5 from both sides: $-y = -2 - 5$
$-y = -7$
Multiply by -1: $y = 7$

5. 1 + y = 9
Subtract 1 from both sides: $y = 9 - 1$
$y = 8$

6. y + 1 = 2
Subtract 1 from both sides: $y = 2 - 1$
$y = 1$

7. 3 + y = 8
Subtract 3 from both sides: $y = 8 - 3$
$y = 5$

8. y - 9 = 0
Add 9 to both sides: $y = 0 + 9$
$y = 9$

9. y + 5 = 7
Subtract 5 from both sides: $y = 7 - 5$
$y = 2$

10. y - 3 = 0
Add 3 to both sides: $y = 0 + 3$
$y = 3$

11. y + 8 = 10
Subtract 8 from both sides: $y = 10 - 8$
$y = 2$

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

13. y + 8 = 16
Subtract 8 from both sides: $y = 16 - 8$
$y = 8$

14. 6 - y = 5
Subtract 6 from both sides: $-y = 5 - 6$
$-y = -1$
Multiply by -1: $y = 1$

15. y + 8 = 11
Subtract 8 from both sides: $y = 11 - 8$
$y = 3$

16. y + 2 = 6
Subtract 2 from both sides: $y = 6 - 2$
$y = 4$

17. y - 9 = -2
Add 9 to both sides: $y = -2 + 9$
$y = 7$

18. 7 - y = 3
Subtract 7 from both sides: $-y = 3 - 7$
$-y = -4$
Multiply by -1: $y = 4$

19. 6 - y = 1
Subtract 6 from both sides: $-y = 1 - 6$
$-y = -5$
Multiply by -1: $y = 5$

20. 8 - y = 4
Subtract 8 from both sides: $-y = 4 - 8$
$-y = -4$
Multiply by -1: $y = 4$

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

22. y - 1 = 7
Add 1 to both sides: $y = 7 + 1$
$y = 8$

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

24. 8 - y = -1
Subtract 8 from both sides: $-y = -1 - 8$
$-y = -9$
Multiply by -1: $y = 9$

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