3/(y+5)-1=(4-y)/(2y+10)

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Solution for 3/(y+5)-1=(4-y)/(2y+10) equation:


D( y )

2*y+10 = 0

y+5 = 0

2*y+10 = 0

2*y+10 = 0

2*y+10 = 0 // - 10

2*y = -10 // : 2

y = -10/2

y = -5

y+5 = 0

y+5 = 0

y+5 = 0 // - 5

y = -5

y in (-oo:-5) U (-5:+oo)

3/(y+5)-1 = (4-y)/(2*y+10) // - (4-y)/(2*y+10)

3/(y+5)-((4-y)/(2*y+10))-1 = 0

3/(y+5)+(-1*(4-y))/(2*y+10)-1 = 0

(3*(2*y+10))/((y+5)*(2*y+10))+(-1*(4-y)*(y+5))/((y+5)*(2*y+10))+(-1*(y+5)*(2*y+10))/((y+5)*(2*y+10)) = 0

3*(2*y+10)-1*(4-y)*(y+5)-1*(y+5)*(2*y+10) = 0

y^2-2*y^2+7*y-20*y-50+10 = 0

-y^2-13*y-40 = 0

-y^2-13*y-40 = 0

-1*(y^2+13*y+40) = 0

y^2+13*y+40 = 0

DELTA = 13^2-(1*4*40)

DELTA = 9

DELTA > 0

y = (9^(1/2)-13)/(1*2) or y = (-9^(1/2)-13)/(1*2)

y = -5 or y = -8

-1*(y+8)*(y+5) = 0

(-1*(y+8)*(y+5))/((y+5)*(2*y+10)) = 0

(-1*(y+8)*(y+5))/((y+5)*(2*y+10)) = 0 // * (y+5)*(2*y+10)

-1*(y+8)*(y+5) = 0

( y+5 )

y+5 = 0 // - 5

y = -5

( y+8 )

y+8 = 0 // - 8

y = -8

y in { -5}

y = -8

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