Solve for y -4(-6y+4)-5y=3(y-9)-3

$- 4 (- 6 y + 4) - 5 y = 3 (y - 9) - 3$

Simplify $- 4 (- 6 y + 4) - 5 y$ .

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Simplify each term.

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Apply the distributive property.

$- 4 (- 6 y) - 4 \cdot 4 - 5 y = 3 (y - 9) - 3$

Multiply $- 6$ by $- 4$ .

$24 y - 4 \cdot 4 - 5 y = 3 (y - 9) - 3$

Multiply $- 4$ by $4$ .

$24 y - 16 - 5 y = 3 (y - 9) - 3$

Subtract $5 y$ from $24 y$ .

$19 y - 16 = 3 (y - 9) - 3$

Simplify $3 (y - 9) - 3$ .

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Simplify each term.

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Apply the distributive property.

$19 y - 16 = 3 y + 3 \cdot - 9 - 3$

Multiply $3$ by $- 9$ .

$19 y - 16 = 3 y - 27 - 3$

Subtract $3$ from $- 27$ .

$19 y - 16 = 3 y - 30$

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

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Subtract $3 y$ from both sides of the equation.

$19 y - 16 - 3 y = - 30$

Subtract $3 y$ from $19 y$ .

$16 y - 16 = - 30$

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

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Add $16$ to both sides of the equation.

$16 y = - 30 + 16$

Add $- 30$ and $16$ .

$16 y = - 14$

Divide each term by $16$ and simplify.

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Divide each term in $16 y = - 14$ by $16$ .

$\frac{16 y}{16} = \frac{- 14}{16}$

Cancel the common factor of $16$ .

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Cancel the common factor.

$\frac{16 y}{16} = \frac{- 14}{16}$

Divide $y$ by $1$ .

$y = \frac{- 14}{16}$

Simplify $\frac{- 14}{16}$ .

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Cancel the common factor of $- 14$ and $16$ .

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Factor $2$ out of $- 14$ .

$y = \frac{2 (- 7)}{16}$

Cancel the common factors.

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Factor $2$ out of $16$ .

$y = \frac{2 \cdot - 7}{2 \cdot 8}$

Cancel the common factor.

$y = \frac{2 \cdot - 7}{2 \cdot 8}$

Rewrite the expression.

$y = \frac{- 7}{8}$

Move the negative in front of the fraction.

$y = - \frac{7}{8}$

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{7}{8}$

Decimal Form:

$y = - 0.875$

Solve for y -4(-6y+4)-5y=3(y-9)-3

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