Solve for y -2y-10=5y+18

$- 2 y - 10 = 5 y + 18$

Step 1

Move all terms containing $y$ to the left side of the equation.

Subtract $5 y$ from both sides of the equation.

$- 2 y - 10 - 5 y = 18$

Subtract $5 y$ from $- 2 y$ .

$- 7 y - 10 = 18$

Step 2

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

Add $10$ to both sides of the equation.

$- 7 y = 18 + 10$

Add $18$ and $10$ .

$- 7 y = 28$

Step 3

Divide each term in $- 7 y = 28$ by $- 7$ and simplify.

Divide each term in $- 7 y = 28$ by $- 7$ .

$\frac{- 7 y}{- 7} = \frac{28}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 y}{- 7} = \frac{28}{- 7}$

Divide $y$ by $1$ .

$y = \frac{28}{- 7}$

Simplify the right side.

Divide $28$ by $- 7$ .

$y = - 4$