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(3y+6)/4-(2y-6)/4=(3y)/4
We move all terms to the left:
(3y+6)/4-(2y-6)/4-((3y)/4)=0
We add all the numbers together, and all the variables
(3y+6)/4-(2y-6)/4-(+3y/4)=0
We get rid of parentheses
(3y+6)/4-(2y-6)/4-3y/4=0
We multiply all the terms by the denominator
(3y+6)-(2y-6)-3y=0
We add all the numbers together, and all the variables
-3y+(3y+6)-(2y-6)=0
We get rid of parentheses
-3y+3y-2y+6+6=0
We add all the numbers together, and all the variables
-2y+12=0
We move all terms containing y to the left, all other terms to the right
-2y=-12
y=-12/-2
y=+6
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