Solve the equation for \( y \) \[ -\frac{2}{3} x+y=8 \]

To solve for \( y \) in the equation \(-\frac{2}{3}x + y = 8\), we want to isolate \( y \) on one side. We can do that by adding \(\frac{2}{3}x\) to both sides: \[ y = 8 + \frac{2}{3}x. \] Now we have expressed \( y \) in terms of \( x \). You can also rearrange this into slope-intercept form, which highlights the relationship between \( y \) and \( x \). The equation shows that for every increase of 1 in \( x \), \( y \) increases by \(\frac{2}{3}\). This relationship allows us to easily graph the equation or analyze its behavior!