https://file.aiquickdraw.com/mathbot/file/1726532834374vxufn05u.jpg

Let's work through the reasoning behind each step of the equation solution. The given equation is:

\[
\frac{y}{4} - 3 = -11
\]

### Step-by-step justification:

1. **\(\frac{y}{4} - 3 = -11\)**:
   - **Reason**: This is the **Given equation**.

2. **\(\frac{y}{4} - 3 + 3 = -11 + 3\)**:
   - **Reason**: This step involves **Adding 3 to both sides** to eliminate the constant term on the left-hand side.

3. **\(\frac{y}{4} = -8\)**:
   - **Reason**: The result after simplification, applying the **Addition Property of Equality**.

4. **\(4 \cdot \frac{y}{4} = -8 \cdot 4\)**:
   - **Reason**: Here, both sides are multiplied by 4 to isolate \(y\), using the **Multiplication Property of Equality**.

5. **\(y = -32\)**:
   - **Reason**: Simplifying the result of multiplying both sides, this is the **Simplified result**.

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Do you want further details or explanations on any part of this?

Here are 5 related questions you might consider:
1. What is the Addition Property of Equality?
2. How do you justify each step when solving equations?
3. What is the purpose of multiplying both sides of the equation by 4 in Step 4?
4. Can the same approach be used to solve equations with fractions?
5. What is the inverse operation for multiplication?

**Tip**: Always ensure that each step in solving an equation maintains the equality by performing the same operation on both sides.

Solve the equation y/4 - 3 = -11, and justify each step.

Learn how to solve the linear equation y/4 - 3 = -11 with detailed steps, including applying the addition and multiplication properties of equality. This problem is suitable for students in Grades 6-8.

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