Substitution
x= y+6
y= -2-x

X= -2-x+6
2x=4
x=2
y=-2-2
y=-4

Let us solve this by substitution ;

x = y + 6
y = -2 - x

Now, we substitute the value of y in first equation. This gives us;

x = (-2-x) + 6

x = 4 - x

thus, 2x = 4

thus, x = 2.

Substituting the value of x in equation of y,

y = -2 - x
y = -2 - 2
thus, y = -4.

Thus, the solution is x = 2 , y = -4