(2x+yi)-(y-4i)=5+xi

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Solution for (2x+yi)-(y-4i)=5+xi equation: 


Simplifying
(2x + yi) + -1(y + -4i) = 5 + xi

Reorder the terms:
(iy + 2x) + -1(y + -4i) = 5 + xi

Remove parenthesis around (iy + 2x)
iy + 2x + -1(y + -4i) = 5 + xi

Reorder the terms:
iy + 2x + -1(-4i + y) = 5 + xi
iy + 2x + (-4i * -1 + y * -1) = 5 + xi
iy + 2x + (4i + -1y) = 5 + xi

Reorder the terms:
4i + iy + 2x + -1y = 5 + xi

Solving
4i + iy + 2x + -1y = 5 + ix

Solving for variable 'i'.

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

Add '-1ix' to each side of the equation.
4i + iy + 2x + -1ix + -1y = 5 + ix + -1ix

Reorder the terms:
4i + -1ix + iy + 2x + -1y = 5 + ix + -1ix

Combine like terms: ix + -1ix = 0
4i + -1ix + iy + 2x + -1y = 5 + 0
4i + -1ix + iy + 2x + -1y = 5

Add '-2x' to each side of the equation.
4i + -1ix + iy + 2x + -2x + -1y = 5 + -2x

Combine like terms: 2x + -2x = 0
4i + -1ix + iy + 0 + -1y = 5 + -2x
4i + -1ix + iy + -1y = 5 + -2x

Add 'y' to each side of the equation.
4i + -1ix + iy + -1y + y = 5 + -2x + y

Combine like terms: -1y + y = 0
4i + -1ix + iy + 0 = 5 + -2x + y
4i + -1ix + iy = 5 + -2x + y

Reorder the terms:
-5 + 4i + -1ix + iy + 2x + -1y = 5 + -2x + y + -5 + 2x + -1y

Reorder the terms:
-5 + 4i + -1ix + iy + 2x + -1y = 5 + -5 + -2x + 2x + y + -1y

Combine like terms: 5 + -5 = 0
-5 + 4i + -1ix + iy + 2x + -1y = 0 + -2x + 2x + y + -1y
-5 + 4i + -1ix + iy + 2x + -1y = -2x + 2x + y + -1y

Combine like terms: -2x + 2x = 0
-5 + 4i + -1ix + iy + 2x + -1y = 0 + y + -1y
-5 + 4i + -1ix + iy + 2x + -1y = y + -1y

Combine like terms: y + -1y = 0
-5 + 4i + -1ix + iy + 2x + -1y = 0

The solution to this equation could not be determined.

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