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6y-7=3y+10
We move all terms to the left:
6y-7-(3y+10)=0
We get rid of parentheses
6y-3y-10-7=0
We add all the numbers together, and all the variables
3y-17=0
We move all terms containing y to the left, all other terms to the right
3y=17
y=17/3
y=5+2/3
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