If $A=\left[\begin{array}{ll}x & 3 \\ 2 & y\end{array}\right], B=\left[\begin{array}{cc}2 y & 1 \\ 3 & x\end{array}\right]$ and $A+2 B=\left[\begin{array}{cc}6 & 5 \\ 8 & -2\end{array}\right]$ then the value of (x, y) is:

$(-2,2)$ $(2,-2)$ $(4,2)$ $(0,4)$

$(-2,2)$

The correct answer is Option (1) - $(-2,2)$