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Simplifying 6(5y + 6) + 3(2y + 5) = 0 Reorder the terms: 6(6 + 5y) + 3(2y + 5) = 0 (6 * 6 + 5y * 6) + 3(2y + 5) = 0 (36 + 30y) + 3(2y + 5) = 0 Reorder the terms: 36 + 30y + 3(5 + 2y) = 0 36 + 30y + (5 * 3 + 2y * 3) = 0 36 + 30y + (15 + 6y) = 0 Reorder the terms: 36 + 15 + 30y + 6y = 0 Combine like terms: 36 + 15 = 51 51 + 30y + 6y = 0 Combine like terms: 30y + 6y = 36y 51 + 36y = 0 Solving 51 + 36y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 36y = 0 + -51 Combine like terms: 51 + -51 = 0 0 + 36y = 0 + -51 36y = 0 + -51 Combine like terms: 0 + -51 = -51 36y = -51 Divide each side by '36'. y = -1.416666667 Simplifying y = -1.416666667
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