6(y-6)-5=-7(-3y+7)-3y

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Solution for 6(y-6)-5=-7(-3y+7)-3y equation:



6(y-6)-5=-7(-3y+7)-3y
We move all terms to the left:
6(y-6)-5-(-7(-3y+7)-3y)=0
We multiply parentheses
6y-(-7(-3y+7)-3y)-36-5=0
We calculate terms in parentheses: -(-7(-3y+7)-3y), so:
-7(-3y+7)-3y
We add all the numbers together, and all the variables
-3y-7(-3y+7)
We multiply parentheses
-3y+21y-49
We add all the numbers together, and all the variables
18y-49
Back to the equation:
-(18y-49)
We add all the numbers together, and all the variables
6y-(18y-49)-41=0
We get rid of parentheses
6y-18y+49-41=0
We add all the numbers together, and all the variables
-12y+8=0
We move all terms containing y to the left, all other terms to the right
-12y=-8
y=-8/-12
y=2/3

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