(x-2yi)-(y-xi)=(2+I)

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Solution for (x-2yi)-(y-xi)=(2+I) equation: 


Simplifying
(x + -2yi) + -1(y + -1xi) = (2 + I)

Reorder the terms:
(-2iy + x) + -1(y + -1xi) = (2 + I)

Remove parenthesis around (-2iy + x)
-2iy + x + -1(y + -1xi) = (2 + I)

Reorder the terms:
-2iy + x + -1(-1ix + y) = (2 + I)
-2iy + x + (-1ix * -1 + y * -1) = (2 + I)
-2iy + x + (1ix + -1y) = (2 + I)

Reorder the terms:
1ix + -2iy + x + -1y = (2 + I)

Remove parenthesis around (2 + I)
1ix + -2iy + x + -1y = 2 + I

Solving
1ix + -2iy + x + -1y = 2 + I

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '-1x' to each side of the equation.
1ix + -2iy + x + -1x + -1y = 2 + I + -1x

Combine like terms: x + -1x = 0
1ix + -2iy + 0 + -1y = 2 + I + -1x
1ix + -2iy + -1y = 2 + I + -1x

Add 'y' to each side of the equation.
1ix + -2iy + -1y + y = 2 + I + -1x + y

Combine like terms: -1y + y = 0
1ix + -2iy + 0 = 2 + I + -1x + y
1ix + -2iy = 2 + I + -1x + y

Reorder the terms:
-2 + -1I + 1ix + -2iy + x + -1y = 2 + I + -1x + y + -2 + -1I + x + -1y

Reorder the terms:
-2 + -1I + 1ix + -2iy + x + -1y = 2 + -2 + I + -1I + -1x + x + y + -1y

Combine like terms: 2 + -2 = 0
-2 + -1I + 1ix + -2iy + x + -1y = 0 + I + -1I + -1x + x + y + -1y
-2 + -1I + 1ix + -2iy + x + -1y = I + -1I + -1x + x + y + -1y

Combine like terms: I + -1I = 0
-2 + -1I + 1ix + -2iy + x + -1y = 0 + -1x + x + y + -1y
-2 + -1I + 1ix + -2iy + x + -1y = -1x + x + y + -1y

Combine like terms: -1x + x = 0
-2 + -1I + 1ix + -2iy + x + -1y = 0 + y + -1y
-2 + -1I + 1ix + -2iy + x + -1y = y + -1y

Combine like terms: y + -1y = 0
-2 + -1I + 1ix + -2iy + x + -1y = 0

The solution to this equation could not be determined.

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