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

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

D( y )

y-1 = 0

y-6 = 0

y-1 = 0

y-1 = 0

y-1 = 0 // + 1

y = 1

y-6 = 0

y-6 = 0

y-6 = 0 // + 6

y = 6

y in (-oo:1) U (1:6) U (6:+oo)

y/(y-6) = -2/(y-1) // + -2/(y-1)

y/(y-6)-(-2/(y-1)) = 0

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

y/(y-6)+2/(y-1) = 0

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

y*(y-1)+2*(y-6) = 0

y^2+y-12 = 0

y^2+y-12 = 0

y^2+y-12 = 0

DELTA = 1^2-(-12*1*4)

DELTA = 49

DELTA > 0

y = (49^(1/2)-1)/(1*2) or y = (-49^(1/2)-1)/(1*2)

y = 3 or y = -4

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

((y+4)*(y-3))/((y-6)*(y-1)) = 0

((y+4)*(y-3))/((y-6)*(y-1)) = 0 // * (y-6)*(y-1)

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

( y+4 )

y+4 = 0 // - 4

y = -4

( y-3 )

y-3 = 0 // + 3

y = 3

y in { -4, 3 }