Solve for y -4(8+y)=90

$- 4 (8 + y) = 90$

Divide each term in $- 4 (8 + y) = 90$ by $- 4$ and simplify.

Divide each term in $- 4 (8 + y) = 90$ by $- 4$ .

$\frac{- 4 (8 + y)}{- 4} = \frac{90}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 (8 + y)}{- 4} = \frac{90}{- 4}$

Divide $8 + y$ by $1$ .

$8 + y = \frac{90}{- 4}$

Simplify the right side.

Cancel the common factor of $90$ and $- 4$ .

Factor $2$ out of $90$ .

$8 + y = \frac{2 (45)}{- 4}$

Cancel the common factors.

Factor $2$ out of $- 4$ .

$8 + y = \frac{2 \cdot 45}{2 \cdot - 2}$

Cancel the common factor.

$8 + y = \frac{2 \cdot 45}{2 \cdot - 2}$

Rewrite the expression.

$8 + y = \frac{45}{- 2}$

Move the negative in front of the fraction.

$8 + y = - \frac{45}{2}$

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

Subtract $8$ from both sides of the equation.

$y = - \frac{45}{2} - 8$

To write $- 8$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$y = - \frac{45}{2} - 8 \cdot \frac{2}{2}$

Combine $- 8$ and $\frac{2}{2}$ .

$y = - \frac{45}{2} + \frac{- 8 \cdot 2}{2}$

Combine the numerators over the common denominator.

$y = \frac{- 45 - 8 \cdot 2}{2}$

Simplify the numerator.

Multiply $- 8$ by $2$ .

$y = \frac{- 45 - 16}{2}$

Subtract $16$ from $- 45$ .

$y = \frac{- 61}{2}$

Move the negative in front of the fraction.

$y = - \frac{61}{2}$

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{61}{2}$

Decimal Form:

$y = - 30.5$

Mixed Number Form:

$y = - 30 \frac{1}{2}$

Solve for y -4(8+y)=90

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