(8y-5)/(5y-4)=(13/8)

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Solution for (8y-5)/(5y-4)=(13/8) equation: 


D( y )

5*y-4 = 0

5*y-4 = 0

5*y-4 = 0

5*y-4 = 0 // + 4

5*y = 4 // : 5

y = 4/5

y in (-oo:4/5) U (4/5:+oo)

(8*y-5)/(5*y-4) = 13/8 // - 13/8

(8*y-5)/(5*y-4)-(13/8) = 0

(8*y-5)/(5*y-4)-13/8 = 0

(8*(8*y-5))/(8*(5*y-4))+(-13*(5*y-4))/(8*(5*y-4)) = 0

8*(8*y-5)-13*(5*y-4) = 0

12-y = 0

(12-y)/(8*(5*y-4)) = 0

(12-y)/(8*(5*y-4)) = 0 // * 8*(5*y-4)

12-y = 0

12-y = 0 // - 12

-y = -12 // * -1

y = 12

y = 12

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