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3y+9=4y+8
We move all terms to the left:
3y+9-(4y+8)=0
We get rid of parentheses
3y-4y-8+9=0
We add all the numbers together, and all the variables
-1y+1=0
We move all terms containing y to the left, all other terms to the right
-y=-1
y=-1/-1
y=1
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