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if you know the relation of x and y , provide the value of x and the equation value of their relation,how can i use

if you know the relation of x and y,provide the value of x and the equation value of their relation,how can i use python to caculate the value of y, the conditon of that is not a simple relation of x and y,which make you cannot simpify them,only by numerical,for example,r1=np.sqrt((X + mu)**2+ Y**2)r2= np.sqrt((X -(1- mu))**2+ Y**2)U =-mu / r1-(1- mu)/ r2-0.5*(X**2+ Y**2)now i know the value of X, U, mu,how i caculate the value of y

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