3x+4y/x-y +3y/y-x -4x/x-y

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3x+4y/x-y+3y/y-x-4x/x-y3x+4y/x-y+3y/y-x-4x/x-y3x+4y/x-y+3y/y-x-4x/x-y=(3x+4y)/(x-y)-3y/(x-y)-4x/(x-y

3x+4y/x-y +3y/y-x -4x/x-y
3x+4y/x-y +3y/y-x -4x/x-y

3x+4y/x-y +3y/y-x -4x/x-y
=(3x+4y)/(x-y) -3y/(x-y)-4x/(x-y)
=[(3x+4y)-3y-4x]/(x-y)
=(y-x)/(x-y)
=-1

(3x+4y)/(x-y)+3y/(y-x)-4x/(x-y)
=(3x+4y)/(x-y)-3y/(x-t)-4x/(x-y)
=(3x+4y-3y-4x)/(x-y)
=(-x+y)/(x-y)
=-(x-y)/(x-y)
=-1