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Simplifying 2y(n + -1) + -8y(n + -2) = 6 Reorder the terms: 2y(-1 + n) + -8y(n + -2) = 6 (-1 * 2y + n * 2y) + -8y(n + -2) = 6 Reorder the terms: (2ny + -2y) + -8y(n + -2) = 6 (2ny + -2y) + -8y(n + -2) = 6 Reorder the terms: 2ny + -2y + -8y(-2 + n) = 6 2ny + -2y + (-2 * -8y + n * -8y) = 6 Reorder the terms: 2ny + -2y + (-8ny + 16y) = 6 2ny + -2y + (-8ny + 16y) = 6 Reorder the terms: 2ny + -8ny + -2y + 16y = 6 Combine like terms: 2ny + -8ny = -6ny -6ny + -2y + 16y = 6 Combine like terms: -2y + 16y = 14y -6ny + 14y = 6 Solving -6ny + 14y = 6 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14y' to each side of the equation. -6ny + 14y + -14y = 6 + -14y Combine like terms: 14y + -14y = 0 -6ny + 0 = 6 + -14y -6ny = 6 + -14y Divide each side by '-6y'. n = -1y-1 + 2.333333333 Simplifying n = -1y-1 + 2.333333333 Reorder the terms: n = 2.333333333 + -1y-1
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