To solve the equation \(3(x + 2) = y - 6\) for \(y\), we need to isolate \(y\) on one side of the equation. Here are the steps:

1. **Expand the left side** of the equation:

\[
3(x + 2) = y - 6
\]

\[
3x + 6 = y - 6
\]

2. **Add 6 to both sides** to move the constant term on the right side to the left:

\[
3x + 6 + 6 = y - 6 + 6
\]

\[
3x + 12 = y
\]

3. Rewrite the equation with \(y\) isolated:

\[
y = 3x + 12
\]

Thus, the solution for \(y\) is:

\[
\boxed{y = 3x + 12}
\]

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Learn how to solve the equation 3(x + 2) = y - 6 for y with a detailed step-by-step solution. This problem covers key algebraic concepts, including linear equations and isolating variables. Suitable for students in Grades 7-9.

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