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

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Solution for (y-1)/(y+3)+1=(y+4)/(y+6) equation:


D( y )

y+3 = 0

y+6 = 0

y+3 = 0

y+3 = 0

y+3 = 0 // - 3

y = -3

y+6 = 0

y+6 = 0

y+6 = 0 // - 6

y = -6

y in (-oo:-6) U (-6:-3) U (-3:+oo)

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

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

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

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

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

y^2-2*y+9*y-18+18 = 0

y^2+7*y = 0

y^2+7*y = 0

y*(y+7) = 0

y+7 = 0 // - 7

y = -7

y*(y+7) = 0

(y*(y+7))/((y+3)*(y+6)) = 0

(y*(y+7))/((y+3)*(y+6)) = 0 // * (y+3)*(y+6)

y*(y+7) = 0

( y+7 )

y+7 = 0 // - 7

y = -7

( y )

y = 0

y in { -7, 0 }

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