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6=7y-3
We move all terms to the left:
6-(7y-3)=0
We get rid of parentheses
-7y+3+6=0
We add all the numbers together, and all the variables
-7y+9=0
We move all terms containing y to the left, all other terms to the right
-7y=-9
y=-9/-7
y=1+2/7
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