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10y+15=7y+45
We move all terms to the left:
10y+15-(7y+45)=0
We get rid of parentheses
10y-7y-45+15=0
We add all the numbers together, and all the variables
3y-30=0
We move all terms containing y to the left, all other terms to the right
3y=30
y=30/3
y=10
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