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= x+y-2x-2y / 3x-3y+4x+4y
= (-2x)-x+(-2y)+y / 3x+4x-3y+4y
= -3x+y / 7x+y
= -------------------------------------
3(x+y)+4(x-y) per (x+y)(x-y)
x-y-2x-2y per (x+y)(x-y)
= ---------------------------------
3x+3y+4x-4y per (x+y)(x-y)
-x-3y per(x+y)(x-y)
= --------------------------
7x-y per (x+y)(x-y)
(-x-3y)((x+y)(x-y))
= ----------------------
((x+y)(x-y) (7x-y)
-x-3y
= -------
7x-y
= -1/7x +3y