Solve for y 2+4y=-2(-y-1)-4(5y-4)

$2 + 4 y = - 2 (- y - 1) - 4 (5 y - 4)$

Since $y$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$- 2 (- y - 1) - 4 (5 y - 4) = 2 + 4 y$

Simplify $- 2 (- y - 1) - 4 (5 y - 4)$ .

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Simplify each term.

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Apply the distributive property.

$- 2 (- y) - 2 \cdot - 1 - 4 (5 y - 4) = 2 + 4 y$

Multiply $- 1$ by $- 2$ .

$2 y - 2 \cdot - 1 - 4 (5 y - 4) = 2 + 4 y$

Multiply $- 2$ by $- 1$ .

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

Apply the distributive property.

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

Multiply $5$ by $- 4$ .

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

Multiply $- 4$ by $- 4$ .

$2 y + 2 - 20 y + 16 = 2 + 4 y$

Simplify by adding terms.

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Subtract $20 y$ from $2 y$ .

$- 18 y + 2 + 16 = 2 + 4 y$

Add $2$ and $16$ .

$- 18 y + 18 = 2 + 4 y$

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

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Subtract $4 y$ from both sides of the equation.

$- 18 y + 18 - 4 y = 2$

Subtract $4 y$ from $- 18 y$ .

$- 22 y + 18 = 2$

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

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Subtract $18$ from both sides of the equation.

$- 22 y = 2 - 18$

Subtract $18$ from $2$ .

$- 22 y = - 16$

Divide each term by $- 22$ and simplify.

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Divide each term in $- 22 y = - 16$ by $- 22$ .

$\frac{- 22 y}{- 22} = \frac{- 16}{- 22}$

Cancel the common factor of $- 22$ .

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Cancel the common factor.

$\frac{- 22 y}{- 22} = \frac{- 16}{- 22}$

Divide $y$ by $1$ .

$y = \frac{- 16}{- 22}$

Cancel the common factor of $- 16$ and $- 22$ .

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Factor $- 2$ out of $- 16$ .

$y = \frac{- 2 (8)}{- 22}$

Cancel the common factors.

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Factor $- 2$ out of $- 22$ .

$y = \frac{- 2 \cdot 8}{- 2 \cdot 11}$

Cancel the common factor.

$y = \frac{- 2 \cdot 8}{- 2 \cdot 11}$

Rewrite the expression.

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$y = 0.\overline{72}$

Solve for y 2+4y=-2(-y-1)-4(5y-4)

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