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Simplifying x + -8i + (y + -3) = 1 Reorder the terms: x + -8i + (-3 + y) = 1 Remove parenthesis around (-3 + y) x + -8i + -3 + y = 1 Reorder the terms: -3 + -8i + x + y = 1 Solving -3 + -8i + x + y = 1 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -8i + x + 3 + y = 1 + 3 Reorder the terms: -3 + 3 + -8i + x + y = 1 + 3 Combine like terms: -3 + 3 = 0 0 + -8i + x + y = 1 + 3 -8i + x + y = 1 + 3 Combine like terms: 1 + 3 = 4 -8i + x + y = 4 Add '-1x' to each side of the equation. -8i + x + -1x + y = 4 + -1x Combine like terms: x + -1x = 0 -8i + 0 + y = 4 + -1x -8i + y = 4 + -1x Add '-1y' to each side of the equation. -8i + y + -1y = 4 + -1x + -1y Combine like terms: y + -1y = 0 -8i + 0 = 4 + -1x + -1y -8i = 4 + -1x + -1y Divide each side by '-8'. i = -0.5 + 0.125x + 0.125y Simplifying i = -0.5 + 0.125x + 0.125y
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