I need help solving this 4 by 4 does anybody know how to do? it any help would be amazing. I know that in order to solve i need to create a 3 by 3 out of the 4 by 4 and make a 2 by 2 out of the 3 by 3 but everytime i go to solve i can never get the right answer i also know the the answers are whole numbers no decimals

w+2x+2y+z=-2
w+3x-2y-z=-6
-2w-x+3y+3z=6
w+4x+y+2z=-14