SOLUTION: Please help solve this equation for Y: 2/Y+2/Y(Y-2)=Y-1/Y(Y-2)

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Question 960385: Please help solve this equation for Y:
2/Y+2/Y(Y-2)=Y-1/Y(Y-2)
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
2/Y +2/Y(Y-2) = Y-1/Y(Y-2)
multiply both sides of the = by Y(Y-2)
2(Y-2) + 2 = Y-1
2Y -4 +2 = Y-1
Y = 1
check answer in given equation
2 -2 = 0 / -1
0 = 0
our answer checks