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4y-6=7y+1
We move all terms to the left:
4y-6-(7y+1)=0
We get rid of parentheses
4y-7y-1-6=0
We add all the numbers together, and all the variables
-3y-7=0
We move all terms containing y to the left, all other terms to the right
-3y=7
y=7/-3
y=-2+1/3
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