(0.5y+4)/(1.2y+8)=5/3

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Solution for (0.5y+4)/(1.2y+8)=5/3 equation: 


D( y )

1.2*y+8 = 0

1.2*y+8 = 0

1.2*y+8 = 0

1.2*y+8 = 0 // - 8

1.2*y = -8 // : 1.2

y = -8/1.2

y = -6.66666667

y in (-oo:-6.66666667) U (-6.66666667:+oo)

(0.5*y+4)/(1.2*y+8) = 5/3 // - 5/3

(0.5*y+4)/(1.2*y+8)-(5/3) = 0

(0.5*y+4)/(1.2*y+8)-5/3 = 0

(3*(0.5*y+4))/(3*(1.2*y+8))+(-5*(1.2*y+8))/(3*(1.2*y+8)) = 0

3*(0.5*y+4)-5*(1.2*y+8) = 0

-4.5*y-28 = 0

(-4.5*y-28)/(3*(1.2*y+8)) = 0

(-4.5*y-28)/(3*(1.2*y+8)) = 0 // * 3*(1.2*y+8)

-4.5*y-28 = 0

-4.5*y-28 = 0 // + 28

-4.5*y = 28 // : -4.5

y = 28/(-4.5)

y = -6.22222222

y = -6.22222222

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