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3y/5=6y-9
We move all terms to the left:
3y/5-(6y-9)=0
We get rid of parentheses
3y/5-6y+9=0
We multiply all the terms by the denominator
3y-6y*5+9*5=0
We add all the numbers together, and all the variables
3y-6y*5+45=0
Wy multiply elements
3y-30y+45=0
We add all the numbers together, and all the variables
-27y+45=0
We move all terms containing y to the left, all other terms to the right
-27y=-45
y=-45/-27
y=1+2/3
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