Answer
See below
Work Step by Step
Add the first equation to the second:
$4x=-8\\x=-2$
Multiply the third equation by $2$ and add it to the second equation:
$7x+7z=14$
Find $z$: $7(-2)+7z=14\\z=4$
Find $y$: $3(-2)-2y+4=-18\\y=8$
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