Solve for y w=x+xyz

$w = x + x y z$

Step 1

Rewrite the equation as $x + x y z = w$ .

$x + x y z = w$

Step 2

Subtract $x$ from both sides of the equation.

$x y z = w - x$

Step 3

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

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

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

Simplify the left side.

Cancel the common factor of $x$ .

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $z$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Cancel the common factor of $x$ .

Cancel the common factor.

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

Rewrite the expression.

$y = \frac{w}{x z} + \frac{- 1}{z}$

Move the negative in front of the fraction.

$y = \frac{w}{x z} - \frac{1}{z}$