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Simplifying 2x + -1(y + x) * i + -1y = 4 + -2y Reorder the terms: 2x + -1(x + y) * i + -1y = 4 + -2y Reorder the terms for easier multiplication: 2x + -1i(x + y) + -1y = 4 + -2y 2x + (x * -1i + y * -1i) + -1y = 4 + -2y 2x + (-1ix + -1iy) + -1y = 4 + -2y Reorder the terms: -1ix + -1iy + 2x + -1y = 4 + -2y Solving -1ix + -1iy + 2x + -1y = 4 + -2y Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2x' to each side of the equation. -1ix + -1iy + 2x + -2x + -1y = 4 + -2x + -2y Combine like terms: 2x + -2x = 0 -1ix + -1iy + 0 + -1y = 4 + -2x + -2y -1ix + -1iy + -1y = 4 + -2x + -2y Add 'y' to each side of the equation. -1ix + -1iy + -1y + y = 4 + -2x + -2y + y Combine like terms: -1y + y = 0 -1ix + -1iy + 0 = 4 + -2x + -2y + y -1ix + -1iy = 4 + -2x + -2y + y Combine like terms: -2y + y = -1y -1ix + -1iy = 4 + -2x + -1y Reorder the terms: -4 + -1ix + -1iy + 2x + y = 4 + -2x + -1y + -4 + 2x + y Reorder the terms: -4 + -1ix + -1iy + 2x + y = 4 + -4 + -2x + 2x + -1y + y Combine like terms: 4 + -4 = 0 -4 + -1ix + -1iy + 2x + y = 0 + -2x + 2x + -1y + y -4 + -1ix + -1iy + 2x + y = -2x + 2x + -1y + y Combine like terms: -2x + 2x = 0 -4 + -1ix + -1iy + 2x + y = 0 + -1y + y -4 + -1ix + -1iy + 2x + y = -1y + y Combine like terms: -1y + y = 0 -4 + -1ix + -1iy + 2x + y = 0 The solution to this equation could not be determined.
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