Solve for y -3(y-5)+9y=3y-8

-3(y-5)+9y=3y-8

Simplify -3(y-5)+9y.

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Simplify each term.

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Apply the distributive property.

-3y-3⋅-5+9y=3y-8

Multiply -3 by -5.

-3y+15+9y=3y-8

Add -3y and 9y.

6y+15=3y-8

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

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Subtract 3y from both sides of the equation.

6y+15-3y=-8

Subtract 3y from 6y.

3y+15=-8

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

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Subtract 15 from both sides of the equation.

3y=-8-15

Subtract 15 from -8.

3y=-23

Divide each term by 3 and simplify.

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Divide each term in 3y=-23 by 3.

3y3=-233

Cancel the common factor of 3.

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Cancel the common factor.

3y3=-233

Divide y by 1.

y=-233

Move the negative in front of the fraction.

y=-233

The result can be shown in multiple forms.

Exact Form:

y=-233

Decimal Form:

y=-7.6‾

Mixed Number Form:

y=-723

Solve for y -3(y-5)+9y=3y-8