Solve for y -5(y+2)=-7y+8

-5(y+2)=-7y+8

Simplify -5(y+2).

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Apply the distributive property.

-5y-5⋅2=-7y+8

Multiply -5 by 2.

-5y-10=-7y+8

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

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Add 7y to both sides of the equation.

-5y-10+7y=8

Add -5y and 7y.

2y-10=8

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

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Add 10 to both sides of the equation.

2y=8+10

Add 8 and 10.

2y=18

Divide each term by 2 and simplify.

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Divide each term in 2y=18 by 2.

2y2=182

Cancel the common factor of 2.

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Cancel the common factor.

2y2=182

Divide y by 1.

y=182

Divide 18 by 2.

y=9

Solve for y -5(y+2)=-7y+8