Solve for y 2/3*(3y+6)=-6-3y

Math
23⋅(3y+6)=-6-3y
Simplify 23⋅(3y+6).
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Apply the distributive property.
23(3y)+23⋅6=-6-3y
Cancel the common factor of 3.
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Factor 3 out of 3y.
23(3(y))+23⋅6=-6-3y
Cancel the common factor.
23(3y)+23⋅6=-6-3y
Rewrite the expression.
2y+23⋅6=-6-3y
2y+23⋅6=-6-3y
Cancel the common factor of 3.
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Factor 3 out of 6.
2y+23⋅(3(2))=-6-3y
Cancel the common factor.
2y+23⋅(3⋅2)=-6-3y
Rewrite the expression.
2y+2⋅2=-6-3y
2y+2⋅2=-6-3y
Multiply 2 by 2.
2y+4=-6-3y
2y+4=-6-3y
Move all terms containing y to the left side of the equation.
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Add 3y to both sides of the equation.
2y+4+3y=-6
Add 2y and 3y.
5y+4=-6
5y+4=-6
Move all terms not containing y to the right side of the equation.
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Subtract 4 from both sides of the equation.
5y=-6-4
Subtract 4 from -6.
5y=-10
5y=-10
Divide each term by 5 and simplify.
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Divide each term in 5y=-10 by 5.
5y5=-105
Cancel the common factor of 5.
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Cancel the common factor.
5y5=-105
Divide y by 1.
y=-105
y=-105
Divide -10 by 5.
y=-2
y=-2
Solve for y 2/3*(3y+6)=-6-3y

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