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Simplifying 7x + y + -9i = -1(1 + 4yi) Reorder the terms: -9i + 7x + y = -1(1 + 4yi) -9i + 7x + y = (1 * -1 + 4iy * -1) -9i + 7x + y = (-1 + -4iy) Solving -9i + 7x + y = -1 + -4iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4iy' to each side of the equation. -9i + 7x + 4iy + y = -1 + -4iy + 4iy Reorder the terms: -9i + 4iy + 7x + y = -1 + -4iy + 4iy Combine like terms: -4iy + 4iy = 0 -9i + 4iy + 7x + y = -1 + 0 -9i + 4iy + 7x + y = -1 Add '-7x' to each side of the equation. -9i + 4iy + 7x + -7x + y = -1 + -7x Combine like terms: 7x + -7x = 0 -9i + 4iy + 0 + y = -1 + -7x -9i + 4iy + y = -1 + -7x Add '-1y' to each side of the equation. -9i + 4iy + y + -1y = -1 + -7x + -1y Combine like terms: y + -1y = 0 -9i + 4iy + 0 = -1 + -7x + -1y -9i + 4iy = -1 + -7x + -1y Reorder the terms: 1 + -9i + 4iy + 7x + y = -1 + -7x + -1y + 1 + 7x + y Reorder the terms: 1 + -9i + 4iy + 7x + y = -1 + 1 + -7x + 7x + -1y + y Combine like terms: -1 + 1 = 0 1 + -9i + 4iy + 7x + y = 0 + -7x + 7x + -1y + y 1 + -9i + 4iy + 7x + y = -7x + 7x + -1y + y Combine like terms: -7x + 7x = 0 1 + -9i + 4iy + 7x + y = 0 + -1y + y 1 + -9i + 4iy + 7x + y = -1y + y Combine like terms: -1y + y = 0 1 + -9i + 4iy + 7x + y = 0 The solution to this equation could not be determined.
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