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10y+7=4y-1
We move all terms to the left:
10y+7-(4y-1)=0
We get rid of parentheses
10y-4y+1+7=0
We add all the numbers together, and all the variables
6y+8=0
We move all terms containing y to the left, all other terms to the right
6y=-8
y=-8/6
y=-1+1/3
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