4x-8+8i=20+(-5y-2)i

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Solution for 4x-8+8i=20+(-5y-2)i equation: 


Simplifying
4x + -8 + 8i = 20 + (-5y + -2) * i

Reorder the terms:
-8 + 8i + 4x = 20 + (-5y + -2) * i

Reorder the terms:
-8 + 8i + 4x = 20 + (-2 + -5y) * i

Reorder the terms for easier multiplication:
-8 + 8i + 4x = 20 + i(-2 + -5y)
-8 + 8i + 4x = 20 + (-2 * i + -5y * i)
-8 + 8i + 4x = 20 + (-2i + -5iy)

Solving
-8 + 8i + 4x = 20 + -2i + -5iy

Solving for variable 'i'.

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

Add '2i' to each side of the equation.
-8 + 8i + 2i + 4x = 20 + -2i + 2i + -5iy

Combine like terms: 8i + 2i = 10i
-8 + 10i + 4x = 20 + -2i + 2i + -5iy

Combine like terms: -2i + 2i = 0
-8 + 10i + 4x = 20 + 0 + -5iy
-8 + 10i + 4x = 20 + -5iy

Add '5iy' to each side of the equation.
-8 + 10i + 5iy + 4x = 20 + -5iy + 5iy

Combine like terms: -5iy + 5iy = 0
-8 + 10i + 5iy + 4x = 20 + 0
-8 + 10i + 5iy + 4x = 20

Add '8' to each side of the equation.
-8 + 10i + 5iy + 8 + 4x = 20 + 8

Reorder the terms:
-8 + 8 + 10i + 5iy + 4x = 20 + 8

Combine like terms: -8 + 8 = 0
0 + 10i + 5iy + 4x = 20 + 8
10i + 5iy + 4x = 20 + 8

Combine like terms: 20 + 8 = 28
10i + 5iy + 4x = 28

Add '-4x' to each side of the equation.
10i + 5iy + 4x + -4x = 28 + -4x

Combine like terms: 4x + -4x = 0
10i + 5iy + 0 = 28 + -4x
10i + 5iy = 28 + -4x

Reorder the terms:
-28 + 10i + 5iy + 4x = 28 + -4x + -28 + 4x

Reorder the terms:
-28 + 10i + 5iy + 4x = 28 + -28 + -4x + 4x

Combine like terms: 28 + -28 = 0
-28 + 10i + 5iy + 4x = 0 + -4x + 4x
-28 + 10i + 5iy + 4x = -4x + 4x

Combine like terms: -4x + 4x = 0
-28 + 10i + 5iy + 4x = 0

The solution to this equation could not be determined.

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