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Simplifying (2x + -1y) + -16i = 16 + 4yi Remove parenthesis around (2x + -1y) 2x + -1y + -16i = 16 + 4yi Reorder the terms: -16i + 2x + -1y = 16 + 4yi Solving -16i + 2x + -1y = 16 + 4iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4iy' to each side of the equation. -16i + 2x + -4iy + -1y = 16 + 4iy + -4iy Reorder the terms: -16i + -4iy + 2x + -1y = 16 + 4iy + -4iy Combine like terms: 4iy + -4iy = 0 -16i + -4iy + 2x + -1y = 16 + 0 -16i + -4iy + 2x + -1y = 16 Add '-2x' to each side of the equation. -16i + -4iy + 2x + -2x + -1y = 16 + -2x Combine like terms: 2x + -2x = 0 -16i + -4iy + 0 + -1y = 16 + -2x -16i + -4iy + -1y = 16 + -2x Add 'y' to each side of the equation. -16i + -4iy + -1y + y = 16 + -2x + y Combine like terms: -1y + y = 0 -16i + -4iy + 0 = 16 + -2x + y -16i + -4iy = 16 + -2x + y Reorder the terms: -16 + -16i + -4iy + 2x + -1y = 16 + -2x + y + -16 + 2x + -1y Reorder the terms: -16 + -16i + -4iy + 2x + -1y = 16 + -16 + -2x + 2x + y + -1y Combine like terms: 16 + -16 = 0 -16 + -16i + -4iy + 2x + -1y = 0 + -2x + 2x + y + -1y -16 + -16i + -4iy + 2x + -1y = -2x + 2x + y + -1y Combine like terms: -2x + 2x = 0 -16 + -16i + -4iy + 2x + -1y = 0 + y + -1y -16 + -16i + -4iy + 2x + -1y = y + -1y Combine like terms: y + -1y = 0 -16 + -16i + -4iy + 2x + -1y = 0 The solution to this equation could not be determined.
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