$\frac{34}{1+4 i} x+(1+i)^{3} y=5+\sqrt{-9}$

Step 1 ：The given equation is a complex equation with two variables x and y, and only one equation is given. So, we can't find a unique solution for x and y. We can only express x or y in terms of the other variable.

Step 2 ：Let's simplify the equation: \(2x(1 - 4i) + y(1 + i)^3 - 5 - 3i\) to \(x(2 - 8i) + y(-2 + 2i) - 5 - 3i\).

Step 3 ：Now, we can express x in terms of y. The expression for x in terms of y is \(\boxed{\frac{5y}{17} + \frac{3iy}{17} - \frac{7}{34} + \frac{23i}{34}}\).