[tex]1)\\\\3x-y=6\ \ |\ subtract\ 3x\ to\ both\ sides \\\\3x-3x-y=-3x+6 \\\\ -y=-3x+6 \ \ | \ multiply \ each \ term \ by \ (-1) \\ \\ y=3x-6[/tex]
[tex]2)\\\\2x-y=4\ \ \ |\ subtract\ 2x\ to\ both\ sides \\\\2x-2x-y=-2x+4 \\\\ -y=-2x+4 \ \ | \ multiply \ each \ term \ by \ (-1) \\ \\ y=2x-4[/tex]
[tex]3)\\\\ 2x-y=-4 \ \ |\ subtract\ 2x\ to\ both\ sides \\\\2x-2x-y=-2x-4 \\\\ -y=-2x-4 \ \ | \ multiply \ each \ term \ by \ (-1) \\ \\ y=2x+4[/tex]
[tex]4)\\\\ y-3x=-8 \ \ |\ subtract\ 3x\ to\ both\ sides \\\\3x-3x-y=-3x-8 \\\\ -y=-3x-8 \ \ | \ multiply \ each \ term \ by \ (-1) \\ \\ y=3x+8[/tex]