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(2y+32)/(3y-2)=4
We move all terms to the left:
(2y+32)/(3y-2)-(4)=0
Domain of the equation: (3y-2)!=0We multiply all the terms by the denominator
We move all terms containing y to the left, all other terms to the right
3y!=2
y!=2/3
y!=2/3
y∈R
(2y+32)-4*(3y-2)=0
We multiply parentheses
(2y+32)-12y+8=0
We get rid of parentheses
2y-12y+32+8=0
We add all the numbers together, and all the variables
-10y+40=0
We move all terms containing y to the left, all other terms to the right
-10y=-40
y=-40/-10
y=+4
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