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Simplifying y = (5 + 3i)(4 + -4i) Multiply (5 + 3i) * (4 + -4i) y = (5(4 + -4i) + 3i * (4 + -4i)) y = ((4 * 5 + -4i * 5) + 3i * (4 + -4i)) y = ((20 + -20i) + 3i * (4 + -4i)) y = (20 + -20i + (4 * 3i + -4i * 3i)) y = (20 + -20i + (12i + -12i2)) Combine like terms: -20i + 12i = -8i y = (20 + -8i + -12i2) Solving y = 20 + -8i + -12i2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = 20 + -8i + -12i2
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