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Simplifying (2x + -1y) + -16i = 10 + 4i Remove parenthesis around (2x + -1y) 2x + -1y + -16i = 10 + 4i Reorder the terms: -16i + 2x + -1y = 10 + 4i Solving -16i + 2x + -1y = 10 + 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. -16i + 2x + -4i + -1y = 10 + 4i + -4i Reorder the terms: -16i + -4i + 2x + -1y = 10 + 4i + -4i Combine like terms: -16i + -4i = -20i -20i + 2x + -1y = 10 + 4i + -4i Combine like terms: 4i + -4i = 0 -20i + 2x + -1y = 10 + 0 -20i + 2x + -1y = 10 Add '-2x' to each side of the equation. -20i + 2x + -2x + -1y = 10 + -2x Combine like terms: 2x + -2x = 0 -20i + 0 + -1y = 10 + -2x -20i + -1y = 10 + -2x Add 'y' to each side of the equation. -20i + -1y + y = 10 + -2x + y Combine like terms: -1y + y = 0 -20i + 0 = 10 + -2x + y -20i = 10 + -2x + y Divide each side by '-20'. i = -0.5 + 0.1x + -0.05y Simplifying i = -0.5 + 0.1x + -0.05y
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