Symmetric Equation I

Here is the smallest known solution in positive integers for the Diophantine equation $$\frac{x}{y+z}+\frac{y}{z+x}+\frac{z}{x+y}=4$$
$x=43736[\dots ]772036$
$y=368751[\dots ]055579$
$z=1544768[\dots ]277999$
(The $\dots$ represent 70 digits !)

If we allow one variable to be negative, we can find smaller solutions.

For example, (x,y,z) = {-1,4,11} and {-5,9,11} are solutions of the above equation.

Find the first solution to
$\frac{x}{y+z}+\frac{y}{z+x}+\frac{z}{x+y}=38\text{ with }x<0<y<z\text{ (coprime integers)}$

Answer format: x,y,z

[My timing: 15 sec]