how do i verify a question when i am solving for Y..

yet i need to subsatoute X first to find Y. such as in this probelm to find Y

((xy)/(x+4)-(2y/x)=3 solve for Y


i end up with........lets say that X=4

Y= (3x^2+12x)/(x^2-2x+8)
Y=6

now how am i supposed to verify am i supposed to be getting 3 as my answer and if so how does that work when i have to subsatue X to find Y

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