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6(y-4)-4(5y+7)=3(y-2)-4(2y+1)
We move all terms to the left:
6(y-4)-4(5y+7)-(3(y-2)-4(2y+1))=0
We multiply parentheses
6y-20y-(3(y-2)-4(2y+1))-24-28=0
We calculate terms in parentheses: -(3(y-2)-4(2y+1)), so:We add all the numbers together, and all the variables
3(y-2)-4(2y+1)
We multiply parentheses
3y-8y-6-4
We add all the numbers together, and all the variables
-5y-10
Back to the equation:
-(-5y-10)
-14y-(-5y-10)-52=0
We get rid of parentheses
-14y+5y+10-52=0
We add all the numbers together, and all the variables
-9y-42=0
We move all terms containing y to the left, all other terms to the right
-9y=42
y=42/-9
y=-4+2/3
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