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Simplifying 4 + 5i = y + (x + 2) * i Reorder the terms: 4 + 5i = y + (2 + x) * i Reorder the terms for easier multiplication: 4 + 5i = y + i(2 + x) 4 + 5i = y + (2 * i + x * i) 4 + 5i = y + (2i + ix) Reorder the terms: 4 + 5i = 2i + ix + y Solving 4 + 5i = 2i + ix + y 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. 4 + 5i + -2i = 2i + ix + -2i + y Combine like terms: 5i + -2i = 3i 4 + 3i = 2i + ix + -2i + y Reorder the terms: 4 + 3i = 2i + -2i + ix + y Combine like terms: 2i + -2i = 0 4 + 3i = 0 + ix + y 4 + 3i = ix + y Add '-1ix' to each side of the equation. 4 + 3i + -1ix = ix + -1ix + y Combine like terms: ix + -1ix = 0 4 + 3i + -1ix = 0 + y 4 + 3i + -1ix = y Add '-4' to each side of the equation. 4 + 3i + -4 + -1ix = -4 + y Reorder the terms: 4 + -4 + 3i + -1ix = -4 + y Combine like terms: 4 + -4 = 0 0 + 3i + -1ix = -4 + y 3i + -1ix = -4 + y Reorder the terms: 4 + 3i + -1ix + -1y = -4 + y + 4 + -1y Reorder the terms: 4 + 3i + -1ix + -1y = -4 + 4 + y + -1y Combine like terms: -4 + 4 = 0 4 + 3i + -1ix + -1y = 0 + y + -1y 4 + 3i + -1ix + -1y = y + -1y Combine like terms: y + -1y = 0 4 + 3i + -1ix + -1y = 0 The solution to this equation could not be determined.
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