((3)/(y-5))-((6)/(3y+8))+((5)/(y-5))=0

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Solution for ((3)/(y-5))-((6)/(3y+8))+((5)/(y-5))=0 equation: 


D( y )

3*y+8 = 0

y-5 = 0

3*y+8 = 0

3*y+8 = 0

3*y+8 = 0 // - 8

3*y = -8 // : 3

y = -8/3

y-5 = 0

y-5 = 0

y-5 = 0 // + 5

y = 5

y in (-oo:-8/3) U (-8/3:5) U (5:+oo)

3/(y-5)-(6/(3*y+8))+5/(y-5) = 0

3/(y-5)-6*(3*y+8)^-1+5/(y-5) = 0

3/(y-5)-6/(3*y+8)+5/(y-5) = 0

(3*(3*y+8))/((y-5)*(3*y+8))+(-6*(y-5))/((y-5)*(3*y+8))+(5*(3*y+8))/((y-5)*(3*y+8)) = 0

3*(3*y+8)-6*(y-5)+5*(3*y+8) = 0

3*y+15*y+40+54 = 0

18*y+94 = 0

(18*y+94)/((y-5)*(3*y+8)) = 0

(18*y+94)/((y-5)*(3*y+8)) = 0 // * (y-5)*(3*y+8)

18*y+94 = 0

18*y+94 = 0 // - 94

18*y = -94 // : 18

y = -94/18

y = -47/9

y = -47/9

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