(6/y+4)=(6/5y+20)+1

Solution for (6/y+4)=(6/5y+20)+1 equation:

D( y )

y = 0

y = 0

y = 0

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

6/y+4 = (6/5)*y+1+20 // - (6/5)*y+1+20

6/y-((6/5)*y)-20-1+4 = 0

(-6/5)*y+6/y-20-1+4 = 0

6*y^-1-6/5*y^1-17*y^0 = 0

(6*y^0-6/5*y^2-17*y^1)/(y^1) = 0 // * y^2

y^1*(6*y^0-6/5*y^2-17*y^1) = 0

y^1

(-6/5)*y^2-17*y+6 = 0

(-6/5)*y^2-17*y+6 = 0

DELTA = (-17)^2-(4*6*(-6/5))

DELTA = 1589/5

DELTA > 0

y = ((1589/5)^(1/2)+17)/(2*(-6/5)) or y = (17-(1589/5)^(1/2))/(2*(-6/5))

y = -5/12*((1589/5)^(1/2)+17) or y = -5/12*(17-(1589/5)^(1/2))

y in { -5/12*((1589/5)^(1/2)+17), -5/12*(17-(1589/5)^(1/2))} 

y in { -5/12*((1589/5)^(1/2)+17), -5/12*(17-(1589/5)^(1/2)) }