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Simplifying 6i(y + 3) + 18x = 4y + 51i + 6x Reorder the terms: 6i(3 + y) + 18x = 4y + 51i + 6x (3 * 6i + y * 6i) + 18x = 4y + 51i + 6x (18i + 6iy) + 18x = 4y + 51i + 6x Reorder the terms: 18i + 6iy + 18x = 51i + 6x + 4y Solving 18i + 6iy + 18x = 51i + 6x + 4y Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-51i' to each side of the equation. 18i + 6iy + -51i + 18x = 51i + 6x + -51i + 4y Reorder the terms: 18i + -51i + 6iy + 18x = 51i + 6x + -51i + 4y Combine like terms: 18i + -51i = -33i -33i + 6iy + 18x = 51i + 6x + -51i + 4y Reorder the terms: -33i + 6iy + 18x = 51i + -51i + 6x + 4y Combine like terms: 51i + -51i = 0 -33i + 6iy + 18x = 0 + 6x + 4y -33i + 6iy + 18x = 6x + 4y Add '-18x' to each side of the equation. -33i + 6iy + 18x + -18x = 6x + -18x + 4y Combine like terms: 18x + -18x = 0 -33i + 6iy + 0 = 6x + -18x + 4y -33i + 6iy = 6x + -18x + 4y Combine like terms: 6x + -18x = -12x -33i + 6iy = -12x + 4y Reorder the terms: -33i + 6iy + 12x + -4y = -12x + 12x + 4y + -4y Combine like terms: -12x + 12x = 0 -33i + 6iy + 12x + -4y = 0 + 4y + -4y -33i + 6iy + 12x + -4y = 4y + -4y Combine like terms: 4y + -4y = 0 -33i + 6iy + 12x + -4y = 0 The solution to this equation could not be determined.
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