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Simplifying (2y + -3x) + (3x + 4) * i = 1 + i Reorder the terms: (-3x + 2y) + (3x + 4) * i = 1 + i Remove parenthesis around (-3x + 2y) -3x + 2y + (3x + 4) * i = 1 + i Reorder the terms: -3x + 2y + (4 + 3x) * i = 1 + i Reorder the terms for easier multiplication: -3x + 2y + i(4 + 3x) = 1 + i -3x + 2y + (4 * i + 3x * i) = 1 + i -3x + 2y + (4i + 3ix) = 1 + i Reorder the terms: 4i + 3ix + -3x + 2y = 1 + i Solving 4i + 3ix + -3x + 2y = 1 + i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1i' to each side of the equation. 4i + 3ix + -3x + -1i + 2y = 1 + i + -1i Reorder the terms: 4i + -1i + 3ix + -3x + 2y = 1 + i + -1i Combine like terms: 4i + -1i = 3i 3i + 3ix + -3x + 2y = 1 + i + -1i Combine like terms: i + -1i = 0 3i + 3ix + -3x + 2y = 1 + 0 3i + 3ix + -3x + 2y = 1 Add '3x' to each side of the equation. 3i + 3ix + -3x + 3x + 2y = 1 + 3x Combine like terms: -3x + 3x = 0 3i + 3ix + 0 + 2y = 1 + 3x 3i + 3ix + 2y = 1 + 3x Add '-2y' to each side of the equation. 3i + 3ix + 2y + -2y = 1 + 3x + -2y Combine like terms: 2y + -2y = 0 3i + 3ix + 0 = 1 + 3x + -2y 3i + 3ix = 1 + 3x + -2y Reorder the terms: -1 + 3i + 3ix + -3x + 2y = 1 + 3x + -2y + -1 + -3x + 2y Reorder the terms: -1 + 3i + 3ix + -3x + 2y = 1 + -1 + 3x + -3x + -2y + 2y Combine like terms: 1 + -1 = 0 -1 + 3i + 3ix + -3x + 2y = 0 + 3x + -3x + -2y + 2y -1 + 3i + 3ix + -3x + 2y = 3x + -3x + -2y + 2y Combine like terms: 3x + -3x = 0 -1 + 3i + 3ix + -3x + 2y = 0 + -2y + 2y -1 + 3i + 3ix + -3x + 2y = -2y + 2y Combine like terms: -2y + 2y = 0 -1 + 3i + 3ix + -3x + 2y = 0 The solution to this equation could not be determined.
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