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-4y+3=-2y-6
We move all terms to the left:
-4y+3-(-2y-6)=0
We get rid of parentheses
-4y+2y+6+3=0
We add all the numbers together, and all the variables
-2y+9=0
We move all terms containing y to the left, all other terms to the right
-2y=-9
y=-9/-2
y=4+1/2
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