Solve for y ay+b=cx

$a y + b = c x$

Subtract $b$ from both sides of the equation.

$a y = c x - b$

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

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

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

Simplify the left side.

Cancel the common factor of $a$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Move the negative in front of the fraction.

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