3/y-2 - 2/y-3 = 1/ y-5
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Answer:
y = 19/5
Step-by-step explanation:
3/y - 2 - 2/y - 3 = 1/y -5
3(y -3) -2(y -2) / (y -2)(y -3) = 1/y-5
3y-9-2y+4/y^2-3y-2y+6 = 1/y-5
y- 5/y^2 - 5y +6 = 1/y -5
(y -5)^2 =y^2 - 5y + 6
y^2 + 25 - 10y =y^2 - 5y +6
- 10y +5y = 6-25
- 5y = - 19
y = 19/5
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