The given equation is:

\[
3x - y = -6
\]

To solve for \( y \) in terms of \( x \), we can isolate \( y \).

### Step 1: Move \( y \) to the right-hand side:
\[
3x = y - 6
\]

### Step 2: Move the \( -6 \) to the left-hand side:
\[
y = 3x + 6
\]

Thus, the equation solved for \( y \) is:

\[
y = 3x + 6
\]

Would you like more details or have any questions?

Here are 5 related questions you might explore:
1. What is the slope and y-intercept of \( y = 3x + 6 \)?
2. How would you graph the equation \( y = 3x + 6 \)?
3. What is the solution if \( x = 2 \)?
4. How does this equation compare to the equation of a line in standard form \( Ax + By = C \)?
5. Can you solve for \( x \) if \( y = 0 \)?

**Tip:** In linear equations, solving for \( y \) makes it easier to graph the line and understand its slope and intercept.

Learn how to solve the linear equation 3x - y = -6 by isolating y and expressing it in slope-intercept form. This problem focuses on key algebraic concepts such as linear equations and graphing. Suitable for students in Grades 8-10.

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