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1 makes everything beautiful

Number Theory Level 4

Let $x,y,z$ be integers such that

$xy+x+y=20\\ zy+z+y=6\\ xz+x+z=2$

Given that $x,y,z\neq 0$ , find $z-x-y$

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Excel in math and science

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by Tan Wee Kean

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