7. \( 3 x-y=6 \)

To solve the equation \( 3x - y = 6 \) for \( y \), you can rearrange the equation to isolate \( y \). Simply add \( y \) to both sides and subtract \( 6 \) from both sides to get \( y = 3x - 6 \). This shows that \( y \) is a linear function of \( x \). You can graph this equation easily; the slope is 3, and it crosses the y-axis at -6. When working with linear equations, remember to double-check your operations. A common mistake is to forget to change the sign when transferring terms from one side to the other. For example, if you accidentally try to simplify but instead add when you should subtract, it can lead to a completely incorrect equation. Always keep your side operations clear!