\(\Leftrightarrow\left\{{}\begin{matrix}3x^3-3\left|y+1\right|=18\\2x^3+3\left|y+1\right|=22\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}5x^3=40\\2x^3+3\left|y+1\right|=22\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x^3=8\\2x^3+3\left|y+1\right|=22\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x^3=8\\\left|y+1\right|=2\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x=2\\y=1\end{matrix}\right.\\\left\{{}\begin{matrix}x=2\\y=-3\end{matrix}\right.\end{matrix}\right.\)