Solve for y (x-2)/y=z

$\frac{x - 2}{y} = z$

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$y, 1$

The LCM of one and any expression is the expression.

$y$

Multiply each term in $\frac{x - 2}{y} = z$ by $y$ to eliminate the fractions.

Multiply each term in $\frac{x - 2}{y} = z$ by $y$ .

$\frac{x - 2}{y} y = z y$

Simplify the left side.

Cancel the common factor of $y$ .

Cancel the common factor.

$\frac{x - 2}{y} y = z y$

Rewrite the expression.

$x - 2 = z y$

Solve the equation.

Rewrite the equation as $z y = x - 2$ .

$z y = x - 2$

Divide each term in $z y = x - 2$ by $z$ and simplify.

Divide each term in $z y = x - 2$ by $z$ .

$\frac{z y}{z} = \frac{x}{z} + \frac{- 2}{z}$

Simplify the left side.

Cancel the common factor of $z$ .

Cancel the common factor.

$\frac{z y}{z} = \frac{x}{z} + \frac{- 2}{z}$

Divide $y$ by $1$ .

$y = \frac{x}{z} + \frac{- 2}{z}$

Simplify the right side.

Move the negative in front of the fraction.

$y = \frac{x}{z} - \frac{2}{z}$