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10y-47=6y-15
We move all terms to the left:
10y-47-(6y-15)=0
We get rid of parentheses
10y-6y+15-47=0
We add all the numbers together, and all the variables
4y-32=0
We move all terms containing y to the left, all other terms to the right
4y=32
y=32/4
y=8
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