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Question Number 53842 by Tawa1 last updated on 26/Jan/19

$$\mathrm{Find}\mathrm{all}\mathrm{the}\mathrm{real}\mathrm{valued}\mathrm{f}\mathrm{satisfying}$$$$\mathrm{f}[2\mathrm{x}+\mathrm{f}\left(2\mathrm{y}\right)]+\mathrm{f}\left[\mathrm{f}\left(\mathrm{y}\right)\right]=4\mathrm{x}+8\mathrm{y}$$$$\mathrm{for}\mathrm{all}\mathrm{real}\mathrm{numbers}\mathrm{x}\mathrm{and}\mathrm{y}.$$

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