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4y+6=12y-10
We move all terms to the left:
4y+6-(12y-10)=0
We get rid of parentheses
4y-12y+10+6=0
We add all the numbers together, and all the variables
-8y+16=0
We move all terms containing y to the left, all other terms to the right
-8y=-16
y=-16/-8
y=+2
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