Pre-Algebra Equations Subtraction worksheet for solving basic algebraic equations involving subtraction.

Problem: Solve for the variable \( y \) in each equation.

We will solve each equation step by step. The goal is to isolate \( y \) on one side of the equation.

---

#### 1. \( 8 - y = 3 \)

1. Subtract 8 from both sides:
\[
8 - y - 8 = 3 - 8
\]
\[
-y = -5
\]

2. Multiply both sides by \(-1\) to solve for \( y \):
\[
y = 5
\]

Answer: \( y = 5 \)

---

#### 2. \( 7 - y = 3 \)

1. Subtract 7 from both sides:
\[
7 - y - 7 = 3 - 7
\]
\[
-y = -4
\]

2. Multiply both sides by \(-1\):
\[
y = 4
\]

Answer: \( y = 4 \)

---

#### 3. \( y - 8 = 1 \)

1. Add 8 to both sides:
\[
y - 8 + 8 = 1 + 8
\]
\[
y = 9
\]

Answer: \( y = 9 \)

---

#### 4. \( y - 2 = 0 \)

1. Add 2 to both sides:
\[
y - 2 + 2 = 0 + 2
\]
\[
y = 2
\]

Answer: \( y = 2 \)

---

#### 5. \( 8 - y = 5 \)

1. Subtract 8 from both sides:
\[
8 - y - 8 = 5 - 8
\]
\[
-y = -3
\]

2. Multiply both sides by \(-1\):
\[
y = 3
\]

Answer: \( y = 3 \)

---

#### 6. \( y - 3 = 2 \)

1. Add 3 to both sides:
\[
y - 3 + 3 = 2 + 3
\]
\[
y = 5
\]

Answer: \( y = 5 \)

---

#### 7. \( y - 7 = 2 \)

1. Add 7 to both sides:
\[
y - 7 + 7 = 2 + 7
\]
\[
y = 9
\]

Answer: \( y = 9 \)

---

#### 8. \( 8 - y = 2 \)

1. Subtract 8 from both sides:
\[
8 - y - 8 = 2 - 8
\]
\[
-y = -6
\]

2. Multiply both sides by \(-1\):
\[
y = 6
\]

Answer: \( y = 6 \)

---

#### 9. \( 6 - y = 4 \)

1. Subtract 6 from both sides:
\[
6 - y - 6 = 4 - 6
\]
\[
-y = -2
\]

2. Multiply both sides by \(-1\):
\[
y = 2
\]

Answer: \( y = 2 \)

---

#### 10. \( y - 1 = 3 \)

1. Add 1 to both sides:
\[
y - 1 + 1 = 3 + 1
\]
\[
y = 4
\]

Answer: \( y = 4 \)

---

#### 11. \( y - 5 = 4 \)

1. Add 5 to both sides:
\[
y - 5 + 5 = 4 + 5
\]
\[
y = 9
\]

Answer: \( y = 9 \)

---

#### 12. \( y - 3 = 1 \)

1. Add 3 to both sides:
\[
y - 3 + 3 = 1 + 3
\]
\[
y = 4
\]

Answer: \( y = 4 \)

---

#### 13. \( y - 1 = 1 \)

1. Add 1 to both sides:
\[
y - 1 + 1 = 1 + 1
\]
\[
y = 2
\]

Answer: \( y = 2 \)

---

#### 14. \( 9 - y = 6 \)

1. Subtract 9 from both sides:
\[
9 - y - 9 = 6 - 9
\]
\[
-y = -3
\]

2. Multiply both sides by \(-1\):
\[
y = 3
\]

Answer: \( y = 3 \)

---

#### 15. \( y - 2 = 1 \)

1. Add 2 to both sides:
\[
y - 2 + 2 = 1 + 2
\]
\[
y = 3
\]

Answer: \( y = 3 \)

---

#### 16. \( 8 - y = 5 \)

1. Subtract 8 from both sides:
\[
8 - y - 8 = 5 - 8
\]
\[
-y = -3
\]

2. Multiply both sides by \(-1\):
\[
y = 3
\]

Answer: \( y = 3 \)

---

#### 17. \( y - 3 = 1 \)

1. Add 3 to both sides:
\[
y - 3 + 3 = 1 + 3
\]
\[
y = 4
\]

Answer: \( y = 4 \)

---

#### 18. \( 8 - y = 6 \)

1. Subtract 8 from both sides:
\[
8 - y - 8 = 6 - 8
\]
\[
-y = -2
\]

2. Multiply both sides by \(-1\):
\[
y = 2
\]

Answer: \( y = 2 \)

---

#### 19. \( 6 - y = 4 \)

1. Subtract 6 from both sides:
\[
6 - y - 6 = 4 - 6
\]
\[
-y = -2
\]

2. Multiply both sides by \(-1\):
\[
y = 2
\]

Answer: \( y = 2 \)

---

#### 20. \( y - 6 = 3 \)

1. Add 6 to both sides:
\[
y - 6 + 6 = 3 + 6
\]
\[
y = 9
\]

Answer: \( y = 9 \)

---

#### 21. \( y - 2 = 7 \)

1. Add 2 to both sides:
\[
y - 2 + 2 = 7 + 2
\]
\[
y = 9
\]

Answer: \( y = 9 \)

---

Final Answers:

\[
\boxed{
\begin{array}{lll}
1. & y = 5 & 2. & y = 4 & 3. & y = 9 \\
4. & y = 2 & 5. & y = 3 & 6. & y = 5 \\
7. & y = 9 & 8. & y = 6 & 9. & y = 2 \\
10. & y = 4 & 11. & y = 9 & 12. & y = 4 \\
13. & y = 2 & 14. & y = 3 & 15. & y = 3 \\
16. & y = 3 & 17. & y = 4 & 18. & y = 2 \\
19. & y = 2 & 20. & y = 9 & 21. & y = 9 \\
\end{array}
}
\]