Find $\frac{dy}{dx}$ by implicit differentiation.

$(1+e^{4x}{)}^2=3+ln(2x+y),y-2x$

Select the correct choice below and fill in the answer box$($es$)$ to complete your choice.

A$.\frac{dy}{dx}=$ with $0$

B$.\frac{dy}{dx}=$ for all real values of $x$ and $y$