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5y-17=3y-3
We move all terms to the left:
5y-17-(3y-3)=0
We get rid of parentheses
5y-3y+3-17=0
We add all the numbers together, and all the variables
2y-14=0
We move all terms containing y to the left, all other terms to the right
2y=14
y=14/2
y=7
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