Solve for y |x|-y=2

$| x | - y = 2$

Step 1

Subtract $| x |$ from both sides of the equation.

$- y = 2 - | x |$

Step 2

Divide each term in $- y = 2 - | x |$ by $- 1$ and simplify.

Divide each term in $- y = 2 - | x |$ by $- 1$ .

$\frac{- y}{- 1} = \frac{2}{- 1} + \frac{- | x |}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{2}{- 1} + \frac{- | x |}{- 1}$

Divide $y$ by $1$ .

$y = \frac{2}{- 1} + \frac{- | x |}{- 1}$

Simplify the right side.

Simplify each term.

Divide $2$ by $- 1$ .

$y = - 2 + \frac{- | x |}{- 1}$

Dividing two negative values results in a positive value.

$y = - 2 + \frac{| x |}{1}$

Divide $| x |$ by $1$ .

$y = - 2 + | x |$