Solve for Y 10y-2(-4+3y)=(66-21y)/-3

10y-2(-4+3y)=66-21y-3

Simplify the left side.

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Simplify each term.

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Apply the distributive property.

10y-2⋅-4-2(3y)=66-21y-3

Multiply -2 by -4.

10y+8-2(3y)=66-21y-3

Multiply 3 by -2.

10y+8-6y=66-21y-3

Subtract 6y from 10y.

4y+8=66-21y-3

Simplify 66-21y-3.

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Cancel the common factor of 66-21y and -3.

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Factor 3 out of 66.

4y+8=3(22)-21y-3

Factor 3 out of -21y.

4y+8=3(22)+3(-7y)-3

Factor 3 out of 3(22)+3(-7y).

4y+8=3(22-7y)-3

Move the negative one from the denominator of 22-7y-1.

4y+8=-1⋅(22-7y)

Rewrite -1⋅(22-7y) as -(22-7y).

4y+8=-(22-7y)

Apply the distributive property.

4y+8=-1⋅22-(-7y)

Multiply.

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Multiply -1 by 22.

4y+8=-22-(-7y)

Multiply -7 by -1.

4y+8=-22+7y

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

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Subtract 7y from both sides of the equation.

4y+8-7y=-22

Subtract 7y from 4y.

-3y+8=-22

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

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Subtract 8 from both sides of the equation.

-3y=-22-8

Subtract 8 from -22.

-3y=-30

Divide each term by -3 and simplify.

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Divide each term in -3y=-30 by -3.

-3y-3=-30-3

Cancel the common factor of -3.

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Cancel the common factor.

-3y-3=-30-3

Divide y by 1.

y=-30-3

Divide -30 by -3.

y=10

Solve for Y 10y-2(-4+3y)=(66-21y)/-3

Solving MATH problems