8/(9y-5)=3/(4y)

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Solution for 8/(9y-5)=3/(4y) equation:


D( y )

9*y-5 = 0

4*y = 0

9*y-5 = 0

9*y-5 = 0

9*y-5 = 0 // + 5

9*y = 5 // : 9

y = 5/9

4*y = 0

4*y = 0

4*y = 0 // : 4

y = 0

y in (-oo:0) U (0:5/9) U (5/9:+oo)

8/(9*y-5) = 3/(4*y) // - 3/(4*y)

8/(9*y-5)-(3/(4*y)) = 0

8/(9*y-5)+(-3/4)*y^-1 = 0

8/(9*y-5)-3/(4*y) = 0

(4*8*y)/(4*y*(9*y-5))+(-3*(9*y-5))/(4*y*(9*y-5)) = 0

4*8*y-3*(9*y-5) = 0

5*y+15 = 0

(5*y+15)/(4*y*(9*y-5)) = 0

(5*y+15)/(4*y*(9*y-5)) = 0 // * 4*y*(9*y-5)

5*y+15 = 0

5*y+15 = 0 // - 15

5*y = -15 // : 5

y = -15/5

y = -3

y = -3

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