Solve for y 3(-y+4)=-(-14+4y)

$3 (- y + 4) = - (- 14 + 4 y)$

Simplify $3 (- y + 4)$ .

Start simplifying.

$0 + 0 + 3 (- y + 4) = - (- 14 + 4 y)$

Simplify by adding zeros.

$3 (- y + 4) = - (- 14 + 4 y)$

Apply the distributive property.

$3 (- y) + 3 \cdot 4 = - (- 14 + 4 y)$

Multiply.

Multiply $- 1$ by $3$ .

$- 3 y + 3 \cdot 4 = - (- 14 + 4 y)$

Multiply $3$ by $4$ .

$- 3 y + 12 = - (- 14 + 4 y)$

Simplify $- (- 14 + 4 y)$ .

Apply the distributive property.

$- 3 y + 12 = - - 14 - (4 y)$

Multiply.

Multiply $- 1$ by $- 14$ .

$- 3 y + 12 = 14 - (4 y)$

Multiply $4$ by $- 1$ .

$- 3 y + 12 = 14 - 4 y$

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

Add $4 y$ to both sides of the equation.

$- 3 y + 12 + 4 y = 14$

Add $- 3 y$ and $4 y$ .

$y + 12 = 14$

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

Subtract $12$ from both sides of the equation.

$y = 14 - 12$

Subtract $12$ from $14$ .

$y = 2$