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Simplifying y = [x + -1(-6 + -3i)][x + -1(-6 + 3i)] y = [x + (-6 * -1 + -3i * -1)][x + -1(-6 + 3i)] y = [x + (6 + 3i)][x + -1(-6 + 3i)] Reorder the terms: y = [6 + 3i + x][x + -1(-6 + 3i)] y = [6 + 3i + x][x + (-6 * -1 + 3i * -1)] y = [6 + 3i + x][x + (6 + -3i)] Reorder the terms: y = [6 + 3i + x][6 + -3i + x] Multiply [6 + 3i + x] * [6 + -3i + x] y = [6[6 + -3i + x] + 3i * [6 + -3i + x] + x[6 + -3i + x]] y = [[6 * 6 + -3i * 6 + x * 6] + 3i * [6 + -3i + x] + x[6 + -3i + x]] y = [[36 + -18i + 6x] + 3i * [6 + -3i + x] + x[6 + -3i + x]] y = [36 + -18i + 6x + [6 * 3i + -3i * 3i + x * 3i] + x[6 + -3i + x]] Reorder the terms: y = [36 + -18i + 6x + [18i + 3ix + -9i2] + x[6 + -3i + x]] y = [36 + -18i + 6x + [18i + 3ix + -9i2] + x[6 + -3i + x]] y = [36 + -18i + 6x + 18i + 3ix + -9i2 + [6 * x + -3i * x + x * x]] Reorder the terms: y = [36 + -18i + 6x + 18i + 3ix + -9i2 + [-3ix + 6x + x2]] y = [36 + -18i + 6x + 18i + 3ix + -9i2 + [-3ix + 6x + x2]] Reorder the terms: y = [36 + -18i + 18i + 3ix + -3ix + -9i2 + 6x + 6x + x2] Combine like terms: -18i + 18i = 0 y = [36 + 0 + 3ix + -3ix + -9i2 + 6x + 6x + x2] y = [36 + 3ix + -3ix + -9i2 + 6x + 6x + x2] Combine like terms: 3ix + -3ix = 0 y = [36 + 0 + -9i2 + 6x + 6x + x2] y = [36 + -9i2 + 6x + 6x + x2] Combine like terms: 6x + 6x = 12x y = [36 + -9i2 + 12x + x2] Solving y = 36 + -9i2 + 12x + x2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 36 + -9i2 + 12x + x2
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