(5y/y-4)-4y/(y-4)

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Solution for (5y/y-4)-4y/(y-4) equation: 


D( y )

y = 0

y-4 = 0

y = 0

y = 0

y-4 = 0

y-4 = 0

y-4 = 0 // + 4

y = 4

y in (-oo:0) U (0:4) U (4:+oo)

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

(5*y)/y-4*y*(y-4)^-1-4 = 0

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

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

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

y-4*y-20+16 = 0

-3*y-4 = 0

(-3*y-4)/(y-4) = 0

(-3*y-4)/(y-4) = 0 // * y-4

-3*y-4 = 0

-3*y-4 = 0 // + 4

-3*y = 4 // : -3

y = 4/(-3)

y = -4/3

y = -4/3

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