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Simplifying Y2(x + -3) + -6y(x + -3) + 8(x + -3) = 0 Reorder the terms: Y2(-3 + x) + -6y(x + -3) + 8(x + -3) = 0 (-3 * Y2 + x * Y2) + -6y(x + -3) + 8(x + -3) = 0 (-3Y2 + xY2) + -6y(x + -3) + 8(x + -3) = 0 Reorder the terms: -3Y2 + xY2 + -6y(-3 + x) + 8(x + -3) = 0 -3Y2 + xY2 + (-3 * -6y + x * -6y) + 8(x + -3) = 0 Reorder the terms: -3Y2 + xY2 + (-6xy + 18y) + 8(x + -3) = 0 -3Y2 + xY2 + (-6xy + 18y) + 8(x + -3) = 0 Reorder the terms: -3Y2 + xY2 + -6xy + 18y + 8(-3 + x) = 0 -3Y2 + xY2 + -6xy + 18y + (-3 * 8 + x * 8) = 0 -3Y2 + xY2 + -6xy + 18y + (-24 + 8x) = 0 Reorder the terms: -24 + -3Y2 + 8x + xY2 + -6xy + 18y = 0 Solving -24 + -3Y2 + 8x + xY2 + -6xy + 18y = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '24' to each side of the equation. -24 + -3Y2 + 8x + xY2 + -6xy + 24 + 18y = 0 + 24 Reorder the terms: -24 + 24 + -3Y2 + 8x + xY2 + -6xy + 18y = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -3Y2 + 8x + xY2 + -6xy + 18y = 0 + 24 -3Y2 + 8x + xY2 + -6xy + 18y = 0 + 24 Combine like terms: 0 + 24 = 24 -3Y2 + 8x + xY2 + -6xy + 18y = 24 Add '-8x' to each side of the equation. -3Y2 + 8x + xY2 + -6xy + -8x + 18y = 24 + -8x Reorder the terms: -3Y2 + 8x + -8x + xY2 + -6xy + 18y = 24 + -8x Combine like terms: 8x + -8x = 0 -3Y2 + 0 + xY2 + -6xy + 18y = 24 + -8x -3Y2 + xY2 + -6xy + 18y = 24 + -8x Add '6xy' to each side of the equation. -3Y2 + xY2 + -6xy + 6xy + 18y = 24 + -8x + 6xy Combine like terms: -6xy + 6xy = 0 -3Y2 + xY2 + 0 + 18y = 24 + -8x + 6xy -3Y2 + xY2 + 18y = 24 + -8x + 6xy Add '-18y' to each side of the equation. -3Y2 + xY2 + 18y + -18y = 24 + -8x + 6xy + -18y Combine like terms: 18y + -18y = 0 -3Y2 + xY2 + 0 = 24 + -8x + 6xy + -18y -3Y2 + xY2 = 24 + -8x + 6xy + -18y Reorder the terms: -24 + -3Y2 + 8x + xY2 + -6xy + 18y = 24 + -8x + 6xy + -18y + -24 + 8x + -6xy + 18y Reorder the terms: -24 + -3Y2 + 8x + xY2 + -6xy + 18y = 24 + -24 + -8x + 8x + 6xy + -6xy + -18y + 18y Combine like terms: 24 + -24 = 0 -24 + -3Y2 + 8x + xY2 + -6xy + 18y = 0 + -8x + 8x + 6xy + -6xy + -18y + 18y -24 + -3Y2 + 8x + xY2 + -6xy + 18y = -8x + 8x + 6xy + -6xy + -18y + 18y Combine like terms: -8x + 8x = 0 -24 + -3Y2 + 8x + xY2 + -6xy + 18y = 0 + 6xy + -6xy + -18y + 18y -24 + -3Y2 + 8x + xY2 + -6xy + 18y = 6xy + -6xy + -18y + 18y Combine like terms: 6xy + -6xy = 0 -24 + -3Y2 + 8x + xY2 + -6xy + 18y = 0 + -18y + 18y -24 + -3Y2 + 8x + xY2 + -6xy + 18y = -18y + 18y Combine like terms: -18y + 18y = 0 -24 + -3Y2 + 8x + xY2 + -6xy + 18y = 0 The solution to this equation could not be determined.
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