Simplify y-(12-y)=38

$y - (12 - y) = 38$

Step 1

Simplify $y - (12 - y)$ .

Simplify each term.

Apply the distributive property.

$y - 1 \cdot 12 - - y = 38$

Multiply $- 1$ by $12$ .

$y - 12 - - y = 38$

Multiply $- - y$ .

Multiply $- 1$ by $- 1$ .

$y - 12 + 1 y = 38$

Multiply $y$ by $1$ .

$y - 12 + y = 38$

Add $y$ and $y$ .

$2 y - 12 = 38$

Step 2

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

Add $12$ to both sides of the equation.

$2 y = 38 + 12$

Add $38$ and $12$ .

$2 y = 50$

Step 3

Divide each term in $2 y = 50$ by $2$ and simplify.

Divide each term in $2 y = 50$ by $2$ .

$\frac{2 y}{2} = \frac{50}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{50}{2}$

Divide $y$ by $1$ .

$y = \frac{50}{2}$

Simplify the right side.

Divide $50$ by $2$ .

$y = 25$