The equation in the image is:

$x - 3(y + 2) = 6$

We are asked to solve for $y$. Let's go through the steps:

Step 1: Expand the equation

Distribute the $-3$ to both $y$ and $2$: $x - 3y - 6 = 6$

Step 2: Isolate the $y$-term

Add 6 to both sides to isolate the $y$-term: $x - 3y = 12$

Step 3: Solve for $y$

Subtract $x$ from both sides: $-3y = 12 - x$

Now, divide both sides by $-3$: $y = \frac{x - 12}{3}$

Thus, the solution for $y$ is: $y = \frac{x - 12}{3}$

Would you like further clarification or more details on any step?

Here are 5 related questions to consider:

1. How would the solution change if the constant on the right-hand side was different?
2. What happens if there are multiple variables in the equation?
3. Can this equation be solved graphically? How would you plot it?
4. How do you verify if the solution is correct by plugging back values for $x$?
5. What if you were solving for $x$ instead of $y$?

Tip: Always perform distribution carefully to avoid mistakes when handling parentheses.