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To solve the equation \( x = 3y - 24 \) for \( y \), follow these steps:

### Step-by-Step Solution:

1. Start with the given equation:
   \[
   x = 3y - 24
   \]

2. Add 24 to both sides to isolate the \( 3y \) term:
   \[
   x + 24 = 3y
   \]

3. Divide both sides by 3 to solve for \( y \):
   \[
   y = \frac{x + 24}{3}
   \]

Thus, the solution is:
\[
y = \frac{x + 24}{3}
\]

Would you like any more details or have any further questions?

Here are five related questions for practice:
1. If \( x = 9 \), what is the value of \( y \)?
2. How would you solve for \( y \) if the equation was \( x = 5y - 10 \)?
3. What happens to \( y \) when \( x = -24 \)?
4. How can you check if your solution for \( y \) is correct?
5. Can you express \( y \) as a function of \( x \) for any linear equation?

**Tip**: When solving for a variable, always isolate it by reversing operations step-by-step in the opposite order of the operations applied to it.

Learn how to solve the linear equation x = 3y - 24 for y with a detailed step-by-step solution. This algebraic problem introduces key concepts in solving linear equations, suitable for students in Grades 6-8.

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