Question 155552
14/(y-6) = (1/2) + (6/(y-8))

Multiply thru by 2(y-6)(y-8)

 14*2(y-8) = (y-6)(y-8) + 6*2*(y-6)

 28y - 224 = y^2-14y+48 + 12y - 72

y^2 - 2y - 24 = 28y - 224

y^2 -30y + 200 = 0

(y-10)(y-20) = 0 

y = 10 or y = 20
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Cheers,
Stan H.