y = 2x - 2 (1)
-4x - y = 26 (2)
You are lucky !! They just expressed "y" via "x" in the first equation,
and all you need is to substitute this expression y = 2x-2 from the first equation to the second.
By doing it, you get from the second equation
-4x - (2x-2) = 26.
Simplify and find x
-4x - 2x + 2 = 26
-6x = 26 - 2
-6x = 24
x = = -4.
Now, when you just know x, substitute its value into equation (1). You will get
y = 2*(-4) - 2 = -8 - 2 = -10.
ANSWER. x= -4, y= -10.
Solved.
It is how the SUBSTITUTION method works in this case.