Solve for y -6y+14+4y=32

$- 6 y + 14 + 4 y = 32$

Step 1

Add $- 6 y$ and $4 y$ .

$- 2 y + 14 = 32$

Step 2

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

Subtract $14$ from both sides of the equation.

$- 2 y = 32 - 14$

Subtract $14$ from $32$ .

$- 2 y = 18$

Step 3

Divide each term in $- 2 y = 18$ by $- 2$ and simplify.

Divide each term in $- 2 y = 18$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{18}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{18}{- 2}$

Divide $y$ by $1$ .

$y = \frac{18}{- 2}$

Simplify the right side.

Divide $18$ by $- 2$ .

$y = - 9$