(2-5y)/(3y-1)=6

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Solution for (2-5y)/(3y-1)=6 equation: 


D( y )

3*y-1 = 0

3*y-1 = 0

3*y-1 = 0

3*y-1 = 0 // + 1

3*y = 1 // : 3

y = 1/3

y in (-oo:1/3) U (1/3:+oo)

(2-(5*y))/(3*y-1) = 6 // - 6

(2-(5*y))/(3*y-1)-6 = 0

(2-5*y)/(3*y-1)-6 = 0

(2-5*y)/(3*y-1)+(-6*(3*y-1))/(3*y-1) = 0

2-6*(3*y-1)-5*y = 0

8-23*y = 0

(8-23*y)/(3*y-1) = 0

(8-23*y)/(3*y-1) = 0 // * 3*y-1

8-23*y = 0

8-23*y = 0 // - 8

-23*y = -8 // : -23

y = -8/(-23)

y = 8/23

y = 8/23

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