Solve for y 5y-(2y-10)=25

$5 y - (2 y - 10) = 25$

Step 1

Simplify $5 y - (2 y - 10)$ .

Simplify each term.

Apply the distributive property.

$5 y - (2 y) - - 10 = 25$

Multiply $2$ by $- 1$ .

$5 y - 2 y - - 10 = 25$

Multiply $- 1$ by $- 10$ .

$5 y - 2 y + 10 = 25$

Subtract $2 y$ from $5 y$ .

$3 y + 10 = 25$

Step 2

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

Subtract $10$ from both sides of the equation.

$3 y = 25 - 10$

Subtract $10$ from $25$ .

$3 y = 15$

Step 3

Divide each term in $3 y = 15$ by $3$ and simplify.

Divide each term in $3 y = 15$ by $3$ .

$\frac{3 y}{3} = \frac{15}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{15}{3}$

Divide $y$ by $1$ .

$y = \frac{15}{3}$

Simplify the right side.

Divide $15$ by $3$ .

$y = 5$