(3y+5)/(3-2y)=5/3

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Solution for (3y+5)/(3-2y)=5/3 equation: 


D( y )

3-(2*y) = 0

3-(2*y) = 0

3-(2*y) = 0

3-2*y = 0

3-2*y = 0 // - 3

-2*y = -3 // : -2

y = -3/(-2)

y = 3/2

y in (-oo:3/2) U (3/2:+oo)

(3*y+5)/(3-(2*y)) = 5/3 // - 5/3

(3*y+5)/(3-(2*y))-(5/3) = 0

(3*y+5)/(3-2*y)-5/3 = 0

(3*(3*y+5))/(3*(3-2*y))+(-5*(3-2*y))/(3*(3-2*y)) = 0

3*(3*y+5)-5*(3-2*y) = 0

19*y = 0

(19*y)/(3*(3-2*y)) = 0

(19*y)/(3*(3-2*y)) = 0 // * 3*(3-2*y)

19*y = 0

19*y = 0 // : 19

y = 0

y = 0

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