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3y+6=9y+2
We move all terms to the left:
3y+6-(9y+2)=0
We get rid of parentheses
3y-9y-2+6=0
We add all the numbers together, and all the variables
-6y+4=0
We move all terms containing y to the left, all other terms to the right
-6y=-4
y=-4/-6
y=2/3
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