Solve for y x-yz+5=8

$x - y z + 5 = 8$

Step 1

Move all terms not containing $y$ to the right side of the equation.

Subtract $x$ from both sides of the equation.

$- y z + 5 = 8 - x$

Subtract $5$ from both sides of the equation.

$- y z = 8 - x - 5$

Subtract $5$ from $8$ .

$- y z = - x + 3$

Step 2

Divide each term in $- y z = - x + 3$ by $- 1 z$ and simplify.

Divide each term in $- y z = - x + 3$ by $- 1 z$ .

$\frac{- y z}{- 1 z} = \frac{- x}{- 1 z} + \frac{3}{- 1 z}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y z}{z} = \frac{- x}{- 1 z} + \frac{3}{- 1 z}$

Cancel the common factor of $z$ .

Cancel the common factor.

$\frac{y z}{z} = \frac{- x}{- 1 z} + \frac{3}{- 1 z}$

Divide $y$ by $1$ .

$y = \frac{- x}{- 1 z} + \frac{3}{- 1 z}$

Simplify the right side.

Simplify each term.

Dividing two negative values results in a positive value.

$y = \frac{x}{z} + \frac{3}{- 1 z}$

Move the negative in front of the fraction.

$y = \frac{x}{z} - \frac{3}{z}$