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Simplifying y = (3i + -2j)(4i + -4j) Multiply (3i + -2j) * (4i + -4j) y = (3i * (4i + -4j) + -2j * (4i + -4j)) y = ((4i * 3i + -4j * 3i) + -2j * (4i + -4j)) Reorder the terms: y = ((-12ij + 12i2) + -2j * (4i + -4j)) y = ((-12ij + 12i2) + -2j * (4i + -4j)) y = (-12ij + 12i2 + (4i * -2j + -4j * -2j)) y = (-12ij + 12i2 + (-8ij + 8j2)) Reorder the terms: y = (-12ij + -8ij + 12i2 + 8j2) Combine like terms: -12ij + -8ij = -20ij y = (-20ij + 12i2 + 8j2) Solving y = -20ij + 12i2 + 8j2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Simplifying y = -20ij + 12i2 + 8j2
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