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9(y+5)=7y+35
We move all terms to the left:
9(y+5)-(7y+35)=0
We multiply parentheses
9y-(7y+35)+45=0
We get rid of parentheses
9y-7y-35+45=0
We add all the numbers together, and all the variables
2y+10=0
We move all terms containing y to the left, all other terms to the right
2y=-10
y=-10/2
y=-5
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