Solve for y 2y+18=12-6(y+7)

$2 y + 18 = 12 - 6 (y + 7)$

Step 1

Simplify $12 - 6 (y + 7)$ .

Simplify each term.

Apply the distributive property.

$2 y + 18 = 12 - 6 y - 6 \cdot 7$

Multiply $- 6$ by $7$ .

$2 y + 18 = 12 - 6 y - 42$

Subtract $42$ from $12$ .

$2 y + 18 = - 6 y - 30$

Step 2

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

Add $6 y$ to both sides of the equation.

$2 y + 18 + 6 y = - 30$

Add $2 y$ and $6 y$ .

$8 y + 18 = - 30$

Step 3

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

Subtract $18$ from both sides of the equation.

$8 y = - 30 - 18$

Subtract $18$ from $- 30$ .

$8 y = - 48$

Step 4

Divide each term in $8 y = - 48$ by $8$ and simplify.

Divide each term in $8 y = - 48$ by $8$ .

$\frac{8 y}{8} = \frac{- 48}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 y}{8} = \frac{- 48}{8}$

Divide $y$ by $1$ .

$y = \frac{- 48}{8}$

Simplify the right side.

Divide $- 48$ by $8$ .

$y = - 6$