(x-y)/(x+y)by(y+x)/(y-x)=
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Answer:
I'll use substitutions to make it clearer,
A=x%2By
B=x-y
-B=y-x
..
.
.
%28%28x-y%29%2F%28x%2By%29%29%2F%28%28y-x%29%2F%28y%2Bx%29%29=%28B%2FA%29%2F%28-B%2FA%29
.
.
Dividing by a fraction is equivalent to multiplying by its reciprocal,
.
.
%28%28x-y%29%2F%28x%2By%29%29%2F%28%28y-x%29%2F%28y%2Bx%29%29=%28B%2FA%29%2A%28-A%2FB%29
.
.
%28%28x-y%29%2F%28x%2By%29%29%2F%28%28y-x%29%2F%28y%2Bx%29%29=-1
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