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Simplifying -2y + -1yi = 24 + 6i Reorder the terms: -1iy + -2y = 24 + 6i Solving -1iy + -2y = 24 + 6i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6i' to each side of the equation. -1iy + -6i + -2y = 24 + 6i + -6i Reorder the terms: -6i + -1iy + -2y = 24 + 6i + -6i Combine like terms: 6i + -6i = 0 -6i + -1iy + -2y = 24 + 0 -6i + -1iy + -2y = 24 Add '2y' to each side of the equation. -6i + -1iy + -2y + 2y = 24 + 2y Combine like terms: -2y + 2y = 0 -6i + -1iy + 0 = 24 + 2y -6i + -1iy = 24 + 2y Reorder the terms: -24 + -6i + -1iy + -2y = 24 + 2y + -24 + -2y Reorder the terms: -24 + -6i + -1iy + -2y = 24 + -24 + 2y + -2y Combine like terms: 24 + -24 = 0 -24 + -6i + -1iy + -2y = 0 + 2y + -2y -24 + -6i + -1iy + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 -24 + -6i + -1iy + -2y = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(24 + 6i + iy + 2y) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(24 + 6i + iy + 2y)' equal to zero and attempt to solve: Simplifying 24 + 6i + iy + 2y = 0 Solving 24 + 6i + iy + 2y = 0 Move all terms containing i to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 6i + iy + -24 + 2y = 0 + -24 Reorder the terms: 24 + -24 + 6i + iy + 2y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 6i + iy + 2y = 0 + -24 6i + iy + 2y = 0 + -24 Combine like terms: 0 + -24 = -24 6i + iy + 2y = -24 Add '-2y' to each side of the equation. 6i + iy + 2y + -2y = -24 + -2y Combine like terms: 2y + -2y = 0 6i + iy + 0 = -24 + -2y 6i + iy = -24 + -2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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