Solve for y -2y-6-1=2y+1

$- 2 y - 6 - 1 = 2 y + 1$

Subtract $1$ from $- 6$ .

$- 2 y - 7 = 2 y + 1$

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

Subtract $2 y$ from both sides of the equation.

$- 2 y - 7 - 2 y = 1$

Subtract $2 y$ from $- 2 y$ .

$- 4 y - 7 = 1$

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

Add $7$ to both sides of the equation.

$- 4 y = 1 + 7$

Add $1$ and $7$ .

$- 4 y = 8$

Divide each term in $- 4 y = 8$ by $- 4$ and simplify.

Divide each term in $- 4 y = 8$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{8}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{8}{- 4}$

Divide $y$ by $1$ .

$y = \frac{8}{- 4}$

Simplify the right side.

Divide $8$ by $- 4$ .

$y = - 2$