6(2+3y)=-3(8-2y)

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Solution for 6(2+3y)=-3(8-2y) equation:



6(2+3y)=-3(8-2y)
We move all terms to the left:
6(2+3y)-(-3(8-2y))=0
We add all the numbers together, and all the variables
6(3y+2)-(-3(-2y+8))=0
We multiply parentheses
18y-(-3(-2y+8))+12=0
We calculate terms in parentheses: -(-3(-2y+8)), so:
-3(-2y+8)
We multiply parentheses
6y-24
Back to the equation:
-(6y-24)
We get rid of parentheses
18y-6y+24+12=0
We add all the numbers together, and all the variables
12y+36=0
We move all terms containing y to the left, all other terms to the right
12y=-36
y=-36/12
y=-3

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