Solve for y -3=-11-y/11

$- 3 = - 11 - \frac{y}{11}$

Step 1

Rewrite the equation as $- 11 - \frac{y}{11} = - 3$ .

$- 11 - \frac{y}{11} = - 3$

Step 2

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

Add $11$ to both sides of the equation.

$- \frac{y}{11} = - 3 + 11$

Add $- 3$ and $11$ .

$- \frac{y}{11} = 8$

Step 3

Multiply both sides of the equation by $- 11$ .

$- 11 (- \frac{y}{11}) = - 11 \cdot 8$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 11 (- \frac{y}{11})$ .

Cancel the common factor of $11$ .

Move the leading negative in $- \frac{y}{11}$ into the numerator.

$- 11 \frac{- y}{11} = - 11 \cdot 8$

Factor $11$ out of $- 11$ .

$11 (- 1) \frac{- y}{11} = - 11 \cdot 8$

Cancel the common factor.

$11 \cdot - 1 \frac{- y}{11} = - 11 \cdot 8$

Rewrite the expression.

$- - y = - 11 \cdot 8$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 y = - 11 \cdot 8$

Multiply $y$ by $1$ .

$y = - 11 \cdot 8$

Simplify the right side.

Multiply $- 11$ by $8$ .

$y = - 88$