Inclined asymptote can be found by calculating the limit of (3*y)*log(y) - exp(-(36*y - 36*exp(-1))^4)/36, divided by y at y->+oo and y ->-oo
$$\lim_{y \to -\infty}\left(\frac{3 y \log{\left(y \right)} - \frac{e^{- \left(36 y - \frac{36}{e}\right)^{4}}}{36}}{y}\right) = \infty$$
Let's take the limitso,
inclined asymptote on the left doesn’t exist
$$\lim_{y \to \infty}\left(\frac{3 y \log{\left(y \right)} - \frac{e^{- \left(36 y - \frac{36}{e}\right)^{4}}}{36}}{y}\right) = \infty$$
Let's take the limitso,
inclined asymptote on the right doesn’t exist