solve the following system of equations, please show work
3x-2y+z=12
x+3y+z=-4
2x+2y-4z=6
3x-2y+1z=12
3x+5y-3z=2
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-7y+4z=10
2x+6y+2z=-8
2x+2y-4z=6
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4y +6z= -14
-21y+12z=30
+8 y+12z=-28
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-29 y =58
y = -2
-8+6z=-14
6z = 6
z=-1
x=-4+6+1 = 3