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2(y-9)=4y-14
We move all terms to the left:
2(y-9)-(4y-14)=0
We multiply parentheses
2y-(4y-14)-18=0
We get rid of parentheses
2y-4y+14-18=0
We add all the numbers together, and all the variables
-2y-4=0
We move all terms containing y to the left, all other terms to the right
-2y=4
y=4/-2
y=-2
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