Question
Simplify: $8 \mathrm{x}-[4 \mathrm{y}-\{4 \mathrm{x}+(2 \mathrm{x}-\overline{2 \mathrm{y}-2 \mathrm{x}})\}]$

Answer


$\begin{aligned} & 8 x-[4 y-\{4 x+(2 x-\overline{2 y-2 x})\}] \\ & =8 x-[4 y-\{4 x+(2 x-2 y+2 x)\}] \\ & =8 x-[4 y-\{4 x+(4 x-2 y)\}] \\ & =8 x-[4 y-\{4 x+4 x-2 y\}] \\ & =8 x-[4 y-\{4 x-4 x+2 y\}] \\ & =8 x-[-8 x+6 y] \\ & =8 x+8 x-6 y \\ & =16 x-6 y\end{aligned}$

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