To evaluate xy + 2x - 2y, we need to replace x by 2 and y by -4 as:
[tex]\begin{gathered} xy+2x-2y \\ 2(-4)+2(2)-2(-4) \end{gathered}[/tex]So, solving the multiplication and then adding the numbers, we get:
[tex]\begin{gathered} 2(-4)+2(2)-2(-4) \\ -8+4+8 \\ 4 \end{gathered}[/tex]Answer: 4