To solve for \( y \) in the equation \( 2x + 3y = 12 \), follow these steps:

### Step 1: Isolate the \( 3y \) term
\[
3y = 12 - 2x
\]

### Step 2: Solve for \( y \) by dividing both sides by 3
\[
y = \frac{12 - 2x}{3}
\]

### Step 3: Simplify the expression
\[
y = 4 - \frac{2x}{3}
\]

Thus, the solution is:
\[
y = 4 - \frac{2x}{3}
\]

Let me know if you'd like more details on this! 

Here are some related questions you might find useful:
1. How would you graph \( 2x + 3y = 12 \)?
2. What is the slope of the line represented by \( 2x + 3y = 12 \)?
3. How do you find the intercepts of the equation \( 2x + 3y = 12 \)?
4. Can you solve \( 2x + 3y = 12 \) for \( x \) instead?
5. How does changing the coefficients affect the graph of the equation?

**Tip:** Always try to simplify the equation before solving, it often makes the solution clearer and easier!

Learn how to solve the linear equation 2x + 3y = 12 for y with a detailed, step-by-step solution. This problem covers key algebraic concepts and is suitable for students in Grades 6-8.

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