Solve for y 11y-5y+6=-24-9y

$11 y - 5 y + 6 = - 24 - 9 y$

Step 1

Subtract $5 y$ from $11 y$ .

$6 y + 6 = - 24 - 9 y$

Step 2

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

Add $9 y$ to both sides of the equation.

$6 y + 6 + 9 y = - 24$

Add $6 y$ and $9 y$ .

$15 y + 6 = - 24$

Step 3

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

Subtract $6$ from both sides of the equation.

$15 y = - 24 - 6$

Subtract $6$ from $- 24$ .

$15 y = - 30$

Step 4

Divide each term in $15 y = - 30$ by $15$ and simplify.

Divide each term in $15 y = - 30$ by $15$ .

$\frac{15 y}{15} = \frac{- 30}{15}$

Simplify the left side.

Cancel the common factor of $15$ .

Cancel the common factor.

$\frac{15 y}{15} = \frac{- 30}{15}$

Divide $y$ by $1$ .

$y = \frac{- 30}{15}$

Simplify the right side.

Divide $- 30$ by $15$ .

$y = - 2$