How would you solve this system of equations

{ - x - y - z= -8
{ - 4x+4y+5z=7
{ 2x+2z=4
I have the answer, I just need the steps on how to solve it.

x + z = 2
-(x + y+z) = -8
-4x + 4y + 5z = 7
-( 2 + y) = -8
-2 -y = -8
y = 6

-4x + 4(6) + 5z = 7
-4x + 24 + 5z = 7
-4x + 5z = -17

-4x + 5z = -17
4x + 4z = 8
9z = -9
z = -1

-x -6 --1 = -8
-x - 5 = -8
-x = -3
x = 3

Hence
(x,y,z) = ( 3,6,-1).
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