Magic of 7

Algebra Level 4

Let \(y \in \mathbb{R}\). Find the last digit of \(y\) if \[\large{y= \left \lfloor 7 \left(\frac{\sqrt{|x| - 7} + \sqrt{7 - |x|}}{x + 7} + 7\right)^{700} \right \rfloor}\]

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