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Simplifying (x + -2y) + 8i = 5 + 4yi Remove parenthesis around (x + -2y) x + -2y + 8i = 5 + 4yi Reorder the terms: 8i + x + -2y = 5 + 4yi Solving 8i + x + -2y = 5 + 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. 8i + x + -4iy + -2y = 5 + 4iy + -4iy Reorder the terms: 8i + -4iy + x + -2y = 5 + 4iy + -4iy Combine like terms: 4iy + -4iy = 0 8i + -4iy + x + -2y = 5 + 0 8i + -4iy + x + -2y = 5 Add '-1x' to each side of the equation. 8i + -4iy + x + -1x + -2y = 5 + -1x Combine like terms: x + -1x = 0 8i + -4iy + 0 + -2y = 5 + -1x 8i + -4iy + -2y = 5 + -1x Add '2y' to each side of the equation. 8i + -4iy + -2y + 2y = 5 + -1x + 2y Combine like terms: -2y + 2y = 0 8i + -4iy + 0 = 5 + -1x + 2y 8i + -4iy = 5 + -1x + 2y Reorder the terms: -5 + 8i + -4iy + x + -2y = 5 + -1x + 2y + -5 + x + -2y Reorder the terms: -5 + 8i + -4iy + x + -2y = 5 + -5 + -1x + x + 2y + -2y Combine like terms: 5 + -5 = 0 -5 + 8i + -4iy + x + -2y = 0 + -1x + x + 2y + -2y -5 + 8i + -4iy + x + -2y = -1x + x + 2y + -2y Combine like terms: -1x + x = 0 -5 + 8i + -4iy + x + -2y = 0 + 2y + -2y -5 + 8i + -4iy + x + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 -5 + 8i + -4iy + x + -2y = 0 The solution to this equation could not be determined.
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