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