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

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

6/5*y^1+6*y^-1+23*y^0 = 0

(6/5*y^2+23*y^1+6*y^0)/(y^1) = 0 // * y^2

y^1*(6/5*y^2+23*y^1+6*y^0) = 0

y^1

(6/5)*y^2+23*y+6 = 0

(6/5)*y^2+23*y+6 = 0

DELTA = 23^2-(4*6*(6/5))

DELTA = 2501/5

DELTA > 0

y = ((2501/5)^(1/2)-23)/(2*(6/5)) or y = (-(2501/5)^(1/2)-23)/(2*(6/5))

y = 5/12*((2501/5)^(1/2)-23) or y = -5/12*((2501/5)^(1/2)+23)

y in { -5/12*((2501/5)^(1/2)+23), 5/12*((2501/5)^(1/2)-23)} 

y in { -5/12*((2501/5)^(1/2)+23), 5/12*((2501/5)^(1/2)-23) }