Solve for y ax+by=c for y

$a x + b y = c$ for $y$

Subtract $a x$ from both sides of the equation.

$b y = c - a x$

Divide each term in $b y = c - a x$ by $b$ and simplify.

Divide each term in $b y = c - a x$ by $b$ .

$\frac{b y}{b} = \frac{c}{b} + \frac{- a x}{b}$

Simplify the left side.

Cancel the common factor of $b$ .

Cancel the common factor.

$\frac{b y}{b} = \frac{c}{b} + \frac{- a x}{b}$

Divide $y$ by $1$ .

$y = \frac{c}{b} + \frac{- a x}{b}$

Simplify the right side.

Move the negative in front of the fraction.

$y = \frac{c}{b} - \frac{a x}{b}$