Solve for y -2+2(6y+7)=9y

$- 2 + 2 (6 y + 7) = 9 y$

Simplify $- 2 + 2 (6 y + 7)$ .

Simplify each term.

Apply the distributive property.

$- 2 + 2 (6 y) + 2 \cdot 7 = 9 y$

Multiply $6$ by $2$ .

$- 2 + 12 y + 2 \cdot 7 = 9 y$

Multiply $2$ by $7$ .

$- 2 + 12 y + 14 = 9 y$

Add $- 2$ and $14$ .

$12 y + 12 = 9 y$

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

Subtract $9 y$ from both sides of the equation.

$12 y + 12 - 9 y = 0$

Subtract $9 y$ from $12 y$ .

$3 y + 12 = 0$

Subtract $12$ from both sides of the equation.

$3 y = - 12$

Divide each term in $3 y = - 12$ by $3$ and simplify.

Divide each term in $3 y = - 12$ by $3$ .

$\frac{3 y}{3} = \frac{- 12}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{- 12}{3}$

Divide $y$ by $1$ .

$y = \frac{- 12}{3}$

Simplify the right side.

Divide $- 12$ by $3$ .

$y = - 4$