SOLUTION: I need help to solve this equation 1/y+5 - 8/y-5 = 11/y^2-25

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Question 95844: I need help to solve this equation
1/y+5 - 8/y-5 = 11/y^2-25
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for y:
1%2F%28y%2B5%29+-+8%2F%28y-5%29+=+11%2F%28y%5E2-25%29 Add the two fractions on the left side. The LCD is %28y%2B5%29%28y-5%29+=+y%5E2-25
%28%28y-5%29-8%28y%2B5%29%29%2F%28y%5E2-25%29+=+11%2F%28y%5E2-25%29 Multiply both sides byy%5E2-25 and simplify.
y-5-8y-40+=+11
-7y-45+=+11 Add 45 to both sides.
-7y+=+56 Divide both sides by -7.
y+=+-8
Check: Substitute y = -8 in original equation.
1%2F%28-8%2B5%29+-+8%2F%28-8-5%29+=+11%2F%28%28-8%29%5E2-25%29 Evaluate.
1%2F%28-3%29+-+8%2F%28-13%29+=+11%2F%2864-25%29
13%2F%28-39%29+-+24%2F%28-39%29+=+11%2F39
%28-13%2B24%29%2F%2839%29+=+11%2F39
11%2F39+=+11%2F39 OK!