Assume ( x ) and ( y ) are functions of ( t ). Evaluate ( frac{d y}{d t} ) for ( 3 x y-4 x+6 y^{3}=-48 ), with the conditions ( frac{d x}{d t}=-24, x=6, y=-1 ). [ frac{d y}{d t}= ] (Type an exact answer in simplified form.)

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Assume  ( x  ) and  ( y  ) are functions of  ( t  ). Evaluate  (  frac{d y}{d t}  ) for  ( 3 x y-4 x+6 y^{3}=-48  ), with the conditions  (  frac{d x}{d t}=-24, x=6, y=-1  ).  [  frac{d y}{d t}=  ] (Type an exact answer in simplified form.)

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(Solved): Assume \( x \) and \( y \) are functions of \( t \). Evaluate \( \frac{d y}{d t} \) for \( 3 x y-4 ...

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