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7y-3(y+6)=10=
We move all terms to the left:
7y-3(y+6)-(10)=0
We multiply parentheses
7y-3y-18-10=0
We add all the numbers together, and all the variables
4y-28=0
We move all terms containing y to the left, all other terms to the right
4y=28
y=28/4
y=7
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