To solve the equation $2x + 3y = 12$ for $y$, we first isolate $y$ in terms of $x$.

Steps:

1. Start with the equation: $2x + 3y = 12$
2. Subtract $2x$ from both sides to isolate the $3y$ term: $3y = 12 - 2x$
3. Now, divide both sides by 3 to solve for $y$: $y = \frac{12 - 2x}{3}$
4. Simplify the expression: $y = 4 - \frac{2x}{3}$

So, the solution for $y$ in terms of $x$ is: $y = 4 - \frac{2x}{3}$

Would you like more details or have any questions about the steps?

Here are 5 related questions to explore:

1. How would you solve $y = 4 - \frac{2x}{3}$ if $x = 3$?
2. What happens to $y$ as $x$ increases?
3. Can you graph the equation $2x + 3y = 12$?
4. How would you solve $2x + 3y = 12$ for $x$?
5. What is the slope and intercept of the line represented by $2x + 3y = 12$?

Tip: When isolating a variable, always perform the same operations on both sides of the equation to maintain equality.