SOLUTION: I need help solving this equation: 5 over y - 3 = y + 7 over 2y - 6 plus 1

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Question 109196: I need help solving this equation:
5 over y - 3 = y + 7 over 2y - 6 plus 1
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
5%2F%28y-3%29=%28y%2B7%29%2F%282y-6%29+%2B1
5(2y-6)=(y+7)(y-3)+(y-3)(2y-6) multiply each side by (y-3)(2y-6) to eliminate fractions.
10y-30=y^2+4y-21+2y^2-12y+18
10y-30=3y^2-8y-3
3y^2-18y-27=0
3(y^2-6y-9)=0
(y-3)(y-3)=0
y=3
Since y=3 causes division by zero in the original equation there is no answer.
Ed