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Simplifying y = (x + -1(2 + 3j))(x + -1(2 + -3j)) y = (x + (2 * -1 + 3j * -1))(x + -1(2 + -3j)) y = (x + (-2 + -3j))(x + -1(2 + -3j)) Reorder the terms: y = (-2 + -3j + x)(x + -1(2 + -3j)) y = (-2 + -3j + x)(x + (2 * -1 + -3j * -1)) y = (-2 + -3j + x)(x + (-2 + 3j)) Reorder the terms: y = (-2 + -3j + x)(-2 + 3j + x) Multiply (-2 + -3j + x) * (-2 + 3j + x) y = (-2(-2 + 3j + x) + -3j * (-2 + 3j + x) + x(-2 + 3j + x)) y = ((-2 * -2 + 3j * -2 + x * -2) + -3j * (-2 + 3j + x) + x(-2 + 3j + x)) y = ((4 + -6j + -2x) + -3j * (-2 + 3j + x) + x(-2 + 3j + x)) y = (4 + -6j + -2x + (-2 * -3j + 3j * -3j + x * -3j) + x(-2 + 3j + x)) Reorder the terms: y = (4 + -6j + -2x + (6j + -3jx + -9j2) + x(-2 + 3j + x)) y = (4 + -6j + -2x + (6j + -3jx + -9j2) + x(-2 + 3j + x)) y = (4 + -6j + -2x + 6j + -3jx + -9j2 + (-2 * x + 3j * x + x * x)) Reorder the terms: y = (4 + -6j + -2x + 6j + -3jx + -9j2 + (3jx + -2x + x2)) y = (4 + -6j + -2x + 6j + -3jx + -9j2 + (3jx + -2x + x2)) Reorder the terms: y = (4 + -6j + 6j + -3jx + 3jx + -9j2 + -2x + -2x + x2) Combine like terms: -6j + 6j = 0 y = (4 + 0 + -3jx + 3jx + -9j2 + -2x + -2x + x2) y = (4 + -3jx + 3jx + -9j2 + -2x + -2x + x2) Combine like terms: -3jx + 3jx = 0 y = (4 + 0 + -9j2 + -2x + -2x + x2) y = (4 + -9j2 + -2x + -2x + x2) Combine like terms: -2x + -2x = -4x y = (4 + -9j2 + -4x + x2) Solving y = 4 + -9j2 + -4x + x2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 4 + -9j2 + -4x + x2
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