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Simplifying 3x + y + -2x + 5yi = 4 + -7i Reorder the terms: 5iy + 3x + -2x + y = 4 + -7i Combine like terms: 3x + -2x = 1x 5iy + 1x + y = 4 + -7i Solving 5iy + 1x + y = 4 + -7i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '7i' to each side of the equation. 5iy + 1x + 7i + y = 4 + -7i + 7i Reorder the terms: 7i + 5iy + 1x + y = 4 + -7i + 7i Combine like terms: -7i + 7i = 0 7i + 5iy + 1x + y = 4 + 0 7i + 5iy + 1x + y = 4 Add '-1x' to each side of the equation. 7i + 5iy + 1x + -1x + y = 4 + -1x Combine like terms: 1x + -1x = 0 7i + 5iy + 0 + y = 4 + -1x 7i + 5iy + y = 4 + -1x Add '-1y' to each side of the equation. 7i + 5iy + y + -1y = 4 + -1x + -1y Combine like terms: y + -1y = 0 7i + 5iy + 0 = 4 + -1x + -1y 7i + 5iy = 4 + -1x + -1y Reorder the terms: -4 + 7i + 5iy + x + y = 4 + -1x + -1y + -4 + x + y Reorder the terms: -4 + 7i + 5iy + x + y = 4 + -4 + -1x + x + -1y + y Combine like terms: 4 + -4 = 0 -4 + 7i + 5iy + x + y = 0 + -1x + x + -1y + y -4 + 7i + 5iy + x + y = -1x + x + -1y + y Combine like terms: -1x + x = 0 -4 + 7i + 5iy + x + y = 0 + -1y + y -4 + 7i + 5iy + x + y = -1y + y Combine like terms: -1y + y = 0 -4 + 7i + 5iy + x + y = 0 The solution to this equation could not be determined.
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