Algebra II help please!

Solve the following system of equations.

x + 3y + 2z = –16
2x – y + 2z = –15
2x – 2y – z = 1

please help me :(

x + 3y + 2z = –16, multiply by - 2
2x – y + 2z = –15

- 2x - 6y - 4z = 32
+ 2x – y + 2z = –15
-----------------------------
- 7y - 2z = 17

2x – y + 2z = –15, multiply by - 1
2x – 2y – z = 1

- 2x + y - 2z = + 15
...2x – 2y – z = 1
-----------------------------
- y - 3z = 16

- 7y - 2z = 17
- y - 3z = 16, multiply by - 7

- 7y - 2z = 17
+ 7y + 21z = - 112
----------------------------
19z = - 95

z = - 5

- 7y - 2z = 17

- 7y = 17 + 2*(- 5)

- 7y = 7

y = - 1

x + 3y + 2z = –16

x = -16 - 3*( - 1) - 2*(-5)

x = - 16 + 3 + 10

x = - 3