(4x-8)+(6y+18)i=-32-3yi

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Solution for (4x-8)+(6y+18)i=-32-3yi equation:


Simplifying
(4x + -8) + (6y + 18) * i = -32 + -3yi

Reorder the terms:
(-8 + 4x) + (6y + 18) * i = -32 + -3yi

Remove parenthesis around (-8 + 4x)
-8 + 4x + (6y + 18) * i = -32 + -3yi

Reorder the terms:
-8 + 4x + (18 + 6y) * i = -32 + -3yi

Reorder the terms for easier multiplication:
-8 + 4x + i(18 + 6y) = -32 + -3yi
-8 + 4x + (18 * i + 6y * i) = -32 + -3yi
-8 + 4x + (18i + 6iy) = -32 + -3yi

Reorder the terms:
-8 + 18i + 6iy + 4x = -32 + -3yi

Solving
-8 + 18i + 6iy + 4x = -32 + -3iy

Solving for variable 'i'.

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

Add '3iy' to each side of the equation.
-8 + 18i + 6iy + 3iy + 4x = -32 + -3iy + 3iy

Combine like terms: 6iy + 3iy = 9iy
-8 + 18i + 9iy + 4x = -32 + -3iy + 3iy

Combine like terms: -3iy + 3iy = 0
-8 + 18i + 9iy + 4x = -32 + 0
-8 + 18i + 9iy + 4x = -32

Add '8' to each side of the equation.
-8 + 18i + 9iy + 8 + 4x = -32 + 8

Reorder the terms:
-8 + 8 + 18i + 9iy + 4x = -32 + 8

Combine like terms: -8 + 8 = 0
0 + 18i + 9iy + 4x = -32 + 8
18i + 9iy + 4x = -32 + 8

Combine like terms: -32 + 8 = -24
18i + 9iy + 4x = -24

Add '-4x' to each side of the equation.
18i + 9iy + 4x + -4x = -24 + -4x

Combine like terms: 4x + -4x = 0
18i + 9iy + 0 = -24 + -4x
18i + 9iy = -24 + -4x

Reorder the terms:
24 + 18i + 9iy + 4x = -24 + -4x + 24 + 4x

Reorder the terms:
24 + 18i + 9iy + 4x = -24 + 24 + -4x + 4x

Combine like terms: -24 + 24 = 0
24 + 18i + 9iy + 4x = 0 + -4x + 4x
24 + 18i + 9iy + 4x = -4x + 4x

Combine like terms: -4x + 4x = 0
24 + 18i + 9iy + 4x = 0

The solution to this equation could not be determined.

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