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Simplifying y + -7x + -1i = 4 + -4yi Reorder the terms: -1i + -7x + y = 4 + -4yi Solving -1i + -7x + y = 4 + -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. -1i + -7x + 4iy + y = 4 + -4iy + 4iy Reorder the terms: -1i + 4iy + -7x + y = 4 + -4iy + 4iy Combine like terms: -4iy + 4iy = 0 -1i + 4iy + -7x + y = 4 + 0 -1i + 4iy + -7x + y = 4 Add '7x' to each side of the equation. -1i + 4iy + -7x + 7x + y = 4 + 7x Combine like terms: -7x + 7x = 0 -1i + 4iy + 0 + y = 4 + 7x -1i + 4iy + y = 4 + 7x Add '-1y' to each side of the equation. -1i + 4iy + y + -1y = 4 + 7x + -1y Combine like terms: y + -1y = 0 -1i + 4iy + 0 = 4 + 7x + -1y -1i + 4iy = 4 + 7x + -1y Reorder the terms: -4 + -1i + 4iy + -7x + y = 4 + 7x + -1y + -4 + -7x + y Reorder the terms: -4 + -1i + 4iy + -7x + y = 4 + -4 + 7x + -7x + -1y + y Combine like terms: 4 + -4 = 0 -4 + -1i + 4iy + -7x + y = 0 + 7x + -7x + -1y + y -4 + -1i + 4iy + -7x + y = 7x + -7x + -1y + y Combine like terms: 7x + -7x = 0 -4 + -1i + 4iy + -7x + y = 0 + -1y + y -4 + -1i + 4iy + -7x + y = -1y + y Combine like terms: -1y + y = 0 -4 + -1i + 4iy + -7x + y = 0 The solution to this equation could not be determined.
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