SOLUTION: 5/y+2 - 3/y-2 = 4/y^2-4

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Question 187087: 5/y+2 - 3/y-2 = 4/y^2-4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5%2F%28y%2B2%29++-+3%2F%28y-2%29++=+4%2F%28y%5E2-4%29 Start with the given equation.


5%2F%28y%2B2%29++-+3%2F%28y-2%29++=+4%2F%28%28y%2B2%29%28y-2%29%29 Factor y%5E2-4 to get %28y%2B2%29%28y-2%29


Multiply EVERY term by the LCD %28y%2B2%29%28y-2%29 to clear the fractions.


%28y-2%295-%28y%2B2%293=4 Simplify


5%28y-2%29-3%28y%2B2%29=4 Rearrange the terms.


5y-10-3y-6=4 Distribute.


2y-16=4 Combine like terms on the left side.


2y=4%2B16 Add 16 to both sides.


2y=20 Combine like terms on the right side.


y=%2820%29%2F%282%29 Divide both sides by 2 to isolate y.


y=10 Reduce.


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Answer:

So the answer is y=10