Complex Algebra/Examples/2x - 3iy + 4ix - 2y - 5 - 10i = (x + y + 2) - (y - x + 3)i

Example of Complex Algebra
Let:
 * $2 x - 3 i y + 4 i x - 2 y - 5 - 10 i = \paren {x + y + 2} - \paren {y - x + 3} i$

Then:

Proof
Separating the real parts from the imaginary parts:

Substituting for $x$ from $(1)$ into $(2)$: