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6y-9=8y+14
We move all terms to the left:
6y-9-(8y+14)=0
We get rid of parentheses
6y-8y-14-9=0
We add all the numbers together, and all the variables
-2y-23=0
We move all terms containing y to the left, all other terms to the right
-2y=23
y=23/-2
y=-11+1/2
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