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Simplifying -3y + 4yi = 21 + -16i Reorder the terms: 4iy + -3y = 21 + -16i Solving 4iy + -3y = 21 + -16i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '16i' to each side of the equation. 4iy + 16i + -3y = 21 + -16i + 16i Reorder the terms: 16i + 4iy + -3y = 21 + -16i + 16i Combine like terms: -16i + 16i = 0 16i + 4iy + -3y = 21 + 0 16i + 4iy + -3y = 21 Add '3y' to each side of the equation. 16i + 4iy + -3y + 3y = 21 + 3y Combine like terms: -3y + 3y = 0 16i + 4iy + 0 = 21 + 3y 16i + 4iy = 21 + 3y Reorder the terms: -21 + 16i + 4iy + -3y = 21 + 3y + -21 + -3y Reorder the terms: -21 + 16i + 4iy + -3y = 21 + -21 + 3y + -3y Combine like terms: 21 + -21 = 0 -21 + 16i + 4iy + -3y = 0 + 3y + -3y -21 + 16i + 4iy + -3y = 3y + -3y Combine like terms: 3y + -3y = 0 -21 + 16i + 4iy + -3y = 0 The solution to this equation could not be determined.
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