Verified Answer :

Simplifying
3x + -6i = 27 + yi

Reorder the terms:
-6i + 3x = 27 + yi

Solving
-6i + 3x = 27 + iy

Solving for variable 'i'.

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

Add '-1iy' to each side of the equation.
-6i + -1iy + 3x = 27 + iy + -1iy

Combine like terms: iy + -1iy = 0
-6i + -1iy + 3x = 27 + 0
-6i + -1iy + 3x = 27

Add '-3x' to each side of the equation.
-6i + -1iy + 3x + -3x = 27 + -3x

Combine like terms: 3x + -3x = 0
-6i + -1iy + 0 = 27 + -3x
-6i + -1iy = 27 + -3x

Reorder the terms:
-27 + -6i + -1iy + 3x = 27 + -3x + -27 + 3x

Reorder the terms:
-27 + -6i + -1iy + 3x = 27 + -27 + -3x + 3x

Combine like terms: 27 + -27 = 0
-27 + -6i + -1iy + 3x = 0 + -3x + 3x
-27 + -6i + -1iy + 3x = -3x + 3x

Combine like terms: -3x + 3x = 0
-27 + -6i + -1iy + 3x = 0

The solution to this equation could not be determined.