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-15=-10y+7y
We move all terms to the left:
-15-(-10y+7y)=0
We add all the numbers together, and all the variables
-(-3y)-15=0
We get rid of parentheses
3y-15=0
We move all terms containing y to the left, all other terms to the right
3y=15
y=15/3
y=5
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