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Simplifying -3 + -6(-1y + -9) = 6(6y + 2) + -5 Reorder the terms: -3 + -6(-9 + -1y) = 6(6y + 2) + -5 -3 + (-9 * -6 + -1y * -6) = 6(6y + 2) + -5 -3 + (54 + 6y) = 6(6y + 2) + -5 Combine like terms: -3 + 54 = 51 51 + 6y = 6(6y + 2) + -5 Reorder the terms: 51 + 6y = 6(2 + 6y) + -5 51 + 6y = (2 * 6 + 6y * 6) + -5 51 + 6y = (12 + 36y) + -5 Reorder the terms: 51 + 6y = 12 + -5 + 36y Combine like terms: 12 + -5 = 7 51 + 6y = 7 + 36y Solving 51 + 6y = 7 + 36y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-36y' to each side of the equation. 51 + 6y + -36y = 7 + 36y + -36y Combine like terms: 6y + -36y = -30y 51 + -30y = 7 + 36y + -36y Combine like terms: 36y + -36y = 0 51 + -30y = 7 + 0 51 + -30y = 7 Add '-51' to each side of the equation. 51 + -51 + -30y = 7 + -51 Combine like terms: 51 + -51 = 0 0 + -30y = 7 + -51 -30y = 7 + -51 Combine like terms: 7 + -51 = -44 -30y = -44 Divide each side by '-30'. y = 1.466666667 Simplifying y = 1.466666667
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