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3y-7=8y-23
We move all terms to the left:
3y-7-(8y-23)=0
We get rid of parentheses
3y-8y+23-7=0
We add all the numbers together, and all the variables
-5y+16=0
We move all terms containing y to the left, all other terms to the right
-5y=-16
y=-16/-5
y=3+1/5
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