Solve for y -140=18+4(5y-2)

$- 140 = 18 + 4 (5 y - 2)$

Rewrite the equation as $18 + 4 (5 y - 2) = - 140$ .

$18 + 4 (5 y - 2) = - 140$

Simplify $18 + 4 (5 y - 2)$ .

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Simplify each term.

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Apply the distributive property.

$18 + 4 (5 y) + 4 \cdot - 2 = - 140$

Multiply $5$ by $4$ .

$18 + 20 y + 4 \cdot - 2 = - 140$

Multiply $4$ by $- 2$ .

$18 + 20 y - 8 = - 140$

Subtract $8$ from $18$ .

$20 y + 10 = - 140$

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

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Subtract $10$ from both sides of the equation.

$20 y = - 140 - 10$

Subtract $10$ from $- 140$ .

$20 y = - 150$

Divide each term in $20 y = - 150$ by $20$ and simplify.

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Divide each term in $20 y = - 150$ by $20$ .

$\frac{20 y}{20} = \frac{- 150}{20}$

Simplify the left side.

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Cancel the common factor of $20$ .

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Cancel the common factor.

$\frac{20 y}{20} = \frac{- 150}{20}$

Divide $y$ by $1$ .

$y = \frac{- 150}{20}$

Simplify the right side.

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Cancel the common factor of $- 150$ and $20$ .

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Factor $10$ out of $- 150$ .

$y = \frac{10 (- 15)}{20}$

Cancel the common factors.

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Factor $10$ out of $20$ .

$y = \frac{10 \cdot - 15}{10 \cdot 2}$

Cancel the common factor.

$y = \frac{10 \cdot - 15}{10 \cdot 2}$

Rewrite the expression.

$y = \frac{- 15}{2}$

Move the negative in front of the fraction.

$y = - \frac{15}{2}$

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{15}{2}$

Decimal Form:

$y = - 7.5$

Mixed Number Form:

$y = - 7 \frac{1}{2}$