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Simplifying (3 + -1i) + -1(-2i + 4) = y Remove parenthesis around (3 + -1i) 3 + -1i + -1(-2i + 4) = y Reorder the terms: 3 + -1i + -1(4 + -2i) = y 3 + -1i + (4 * -1 + -2i * -1) = y 3 + -1i + (-4 + 2i) = y Reorder the terms: 3 + -4 + -1i + 2i = y Combine like terms: 3 + -4 = -1 -1 + -1i + 2i = y Combine like terms: -1i + 2i = 1i -1 + 1i = y Solving -1 + 1i = y Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 1i = 1 + y Combine like terms: -1 + 1 = 0 0 + 1i = 1 + y 1i = 1 + y Divide each side by '1'. i = 1 + y Simplifying i = 1 + y
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