Answer
$$y=\frac{C-Ax}{B}$$
Work Step by Step
Solve $Ax + By = C$ for $y$.
To solve for $y$, it must be isolated in one side.
From the original equation, subtract $Ax$ on both sides:
$$Ax-Ax + By = C-Ax$$ $$By = C-Ax$$
Divide both sides by B.
$$\frac{By}{B} = \frac{(C-Ax)}{B}$$
$$y=\frac{C-Ax}{B}$$
