It looks like you're trying to solve the equation: 

\[ 9(y - 2) = 36 \]

Let's solve it step by step:

### Step 1: Distribute the 9
Distribute the 9 to both terms inside the parentheses:
\[
9 \cdot y - 9 \cdot 2 = 36
\]
\[
9y - 18 = 36
\]

### Step 2: Add 18 to both sides
To isolate the term with \( y \), add 18 to both sides:
\[
9y - 18 + 18 = 36 + 18
\]
\[
9y = 54
\]

### Step 3: Divide by 9
Now, divide both sides by 9 to solve for \( y \):
\[
y = \frac{54}{9}
\]
\[
y = 6
\]

So, the solution to the equation is \( y = 6 \).

Do you want more details or have any questions?

Here are 5 related questions you can explore:
1. What happens if the number outside the parentheses was negative?
2. Can you solve a similar equation: \( 7(x - 3) = 28 \)?
3. How would you solve if the equation were \( 5(y - 4) = 25 \)?
4. How would the solution change if the constant on the right was negative?
5. How can you verify the solution is correct?

**Tip:** When solving equations, always perform the same operation on both sides to maintain equality.

Learn how to solve the linear equation 9(y - 2) = 36 with a detailed step-by-step explanation. This solution covers important algebraic concepts, including the distributive property and basic algebraic manipulation. Suitable for students in Grades 6-8.

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