If 5x+3y=12 and 4x-5y=17, what is y?

$$\underset{\,\,\,\,{\textcolor[rgb]{0.66,0.66,0.66}{\rightarrow {\mathtt{x, y}}}}}{{solve}}{\left(\begin{array}{l}{\mathtt{5}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{y}}={\mathtt{12}}\\
{\mathtt{4}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{5}}{\mathtt{\,\times\,}}{\mathtt{y}}={\mathtt{17}}\end{array}\right)} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = {\mathtt{3}}\\
{\mathtt{y}} = -{\mathtt{1}}\\
\end{array} \right\}$$

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