Every Equation Is Missing Something

Algebra Level 2

\[ \large{\begin{cases} x + y + u = 4 \\ y + u + v = -5 \\ u + v +x = 0 \\ v + x + y = -8 \end{cases}} \]

Let \(x,y,u\) and \(v\) be numbers satisfying the system of equations above. Find the product \(xyuv\).‚Äč

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