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Simplifying 2x + y + yi = 5 + 4i Reorder the terms: iy + 2x + y = 5 + 4i Solving iy + 2x + y = 5 + 4i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4i' to each side of the equation. iy + 2x + -4i + y = 5 + 4i + -4i Reorder the terms: -4i + iy + 2x + y = 5 + 4i + -4i Combine like terms: 4i + -4i = 0 -4i + iy + 2x + y = 5 + 0 -4i + iy + 2x + y = 5 Add '-2x' to each side of the equation. -4i + iy + 2x + -2x + y = 5 + -2x Combine like terms: 2x + -2x = 0 -4i + iy + 0 + y = 5 + -2x -4i + iy + y = 5 + -2x Add '-1y' to each side of the equation. -4i + iy + y + -1y = 5 + -2x + -1y Combine like terms: y + -1y = 0 -4i + iy + 0 = 5 + -2x + -1y -4i + iy = 5 + -2x + -1y Reorder the terms: -5 + -4i + iy + 2x + y = 5 + -2x + -1y + -5 + 2x + y Reorder the terms: -5 + -4i + iy + 2x + y = 5 + -5 + -2x + 2x + -1y + y Combine like terms: 5 + -5 = 0 -5 + -4i + iy + 2x + y = 0 + -2x + 2x + -1y + y -5 + -4i + iy + 2x + y = -2x + 2x + -1y + y Combine like terms: -2x + 2x = 0 -5 + -4i + iy + 2x + y = 0 + -1y + y -5 + -4i + iy + 2x + y = -1y + y Combine like terms: -1y + y = 0 -5 + -4i + iy + 2x + y = 0 The solution to this equation could not be determined.
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