https://file.aiquickdraw.com/mathbot/file/173005768427799x8q9ll.jpg

Let's solve each equation step-by-step:

### 1. \( 2e - 8 = 14 \)

1. Add 8 to both sides:
   \[
   2e = 22
   \]

2. Divide by 2:
   \[
   e = 11
   \]

So, \( e = 11 \).

### 2. \( 8w + 20 = 4 \)

1. Subtract 20 from both sides:
   \[
   8w = -16
   \]

2. Divide by 8:
   \[
   w = -2
   \]

So, \( w = -2 \).

### 3. \( 7w + 3 = 5w + 9 \)

1. Subtract \( 5w \) from both sides:
   \[
   2w + 3 = 9
   \]

2. Subtract 3 from both sides:
   \[
   2w = 6
   \]

3. Divide by 2:
   \[
   w = 3
   \]

So, \( w = 3 \).

### 4. \( 3(y + 4) = 24 \)

1. Divide by 3:
   \[
   y + 4 = 8
   \]

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

So, \( y = 4 \).

---

### Summary of Solutions:
- \( e = 11 \)
- \( w = -2 \)
- \( w = 3 \)
- \( y = 4 \)

Would you like further details on any of these steps?

---

#### Related Questions to Explore:
1. How do you solve equations with multiple variables?
2. What are the methods for checking solutions to linear equations?
3. How can we solve equations involving parentheses or brackets?
4. Why do we perform inverse operations when solving equations?
5. What is the process for solving inequalities?

#### Tip:
Always double-check your solution by substituting it back into the original equation. This ensures accuracy.

Solve the following equations:
1. 2e - 8 = 14
2. 8w + 20 = 4
3. 7w + 3 = 5w + 9
4. 3(y + 4) = 24

Learn how to solve linear equations with a step-by-step approach. This guide covers equations such as 2e - 8 = 14, 8w + 20 = 4, 7w + 3 = 5w + 9, and 3(y + 4) = 24, providing clear solutions suitable for Grades 7-9.

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