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Simplifying 2xi + 4y = (5 + y) * I + -8 Reorder the terms for easier multiplication: 2ix + 4y = I(5 + y) + -8 2ix + 4y = (5 * I + y * I) + -8 2ix + 4y = (5I + yI) + -8 Reorder the terms: 2ix + 4y = -8 + 5I + yI Solving 2ix + 4y = -8 + 5I + yI Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4y' to each side of the equation. 2ix + 4y + -4y = -8 + 5I + -4y + yI Combine like terms: 4y + -4y = 0 2ix + 0 = -8 + 5I + -4y + yI 2ix = -8 + 5I + -4y + yI Divide each side by '2x'. i = -4x-1 + 2.5x-1I + -2x-1y + 0.5x-1yI Simplifying i = -4x-1 + 2.5x-1I + -2x-1y + 0.5x-1yI
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