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9y/2=277=
We move all terms to the left:
9y/2-(277)=0
We multiply all the terms by the denominator
9y-277*2=0
We add all the numbers together, and all the variables
9y-554=0
We move all terms containing y to the left, all other terms to the right
9y=554
y=554/9
y=61+5/9
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