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The following figure is a triangle ABCABCABC, where AB=5,BE=y,EC=4,CF=x,AF=6−xAB=5, BE = y, EC=4, CF = x, AF = 6-xAB=5,BE=y,EC=4,CF=x,AF=6−x.
The point DDD is the Incenter of this triangle. Find the value of x+yx+yx+y.
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