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4(2y+3)=6y-14
We move all terms to the left:
4(2y+3)-(6y-14)=0
We multiply parentheses
8y-(6y-14)+12=0
We get rid of parentheses
8y-6y+14+12=0
We add all the numbers together, and all the variables
2y+26=0
We move all terms containing y to the left, all other terms to the right
2y=-26
y=-26/2
y=-13
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