Answer
$$y= \frac{C-Ax}{B}$$
Work Step by Step
$$Ax + By = C$$
To solve for $y$, it must be isolated on one side.
Subtract $Ax$ from both sides:
$$Ax -Ax+ By = C-Ax$$ $$By = C-Ax$$
Divide both sides by $B$:
$$\frac{By}{B} = \frac{C-Ax}{B}$$ $$y= \frac{C-Ax}{B}$$