Solve for Y X=Z/Y

$X = \frac{Z}{Y}$

Rewrite the equation as $\frac{Z}{Y} = X$ .

$\frac{Z}{Y} = X$

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 $\frac{Z}{Y} = X$ by $Y$ to eliminate the fractions.

Multiply each term in $\frac{Z}{Y} = X$ by $Y$ .

$\frac{Z}{Y} Y = X Y$

Simplify the left side.

Cancel the common factor of $Y$ .

Cancel the common factor.

$\frac{Z}{Y} Y = X Y$

Rewrite the expression.

$Z = X Y$

Solve the equation.

Rewrite the equation as $X Y = Z$ .

$X Y = Z$

Divide each term in $X Y = Z$ by $X$ and simplify.

Divide each term in $X Y = Z$ by $X$ .

$\frac{X Y}{X} = \frac{Z}{X}$

Simplify the left side.

Cancel the common factor of $X$ .

Cancel the common factor.

$\frac{X Y}{X} = \frac{Z}{X}$

Divide $Y$ by $1$ .

$Y = \frac{Z}{X}$