Presumably we're supposed to put y in the table. That's not totally clear.
x - 6y = -6
-6y = -x - 6
y = (x+6)/6
x - 3y = -4
-3y = -x - 4
y = (x+4)/3
We wrote them like that because they're a little easier to compute that way.
x y = (x+6)/6 y = (x+4)/3
-4 (-4 + 6)/6 = 2/6 = 1/3 y=(-4+4)/3 = 0
-2 y = (-2+6)/6=2/3 y=(-2+4)/3 =2/3
0 y = (0 + 6)/6 = 1 y=4/3
2 y = 8/6=4/3 y=(2+4)/3=2
4 (4+6)/6=10/6=5/3 y=(4+4)/3=8/3
