Cunning Complex 6

Algebra Level 4

Find the sum of real values of xx and yy for which the following equation is satisfied:

(1+i)x2i3+i+(23i)y+i3i=i.\frac { \left( 1+i \right) x-2i }{ 3+i } + \frac { \left( 2-3i \right) y+i }{ 3-i } =i.

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