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Simplifying 6(6y + 6) + 5 = 1 + 6y Reorder the terms: 6(6 + 6y) + 5 = 1 + 6y (6 * 6 + 6y * 6) + 5 = 1 + 6y (36 + 36y) + 5 = 1 + 6y Reorder the terms: 36 + 5 + 36y = 1 + 6y Combine like terms: 36 + 5 = 41 41 + 36y = 1 + 6y Solving 41 + 36y = 1 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 41 + 36y + -6y = 1 + 6y + -6y Combine like terms: 36y + -6y = 30y 41 + 30y = 1 + 6y + -6y Combine like terms: 6y + -6y = 0 41 + 30y = 1 + 0 41 + 30y = 1 Add '-41' to each side of the equation. 41 + -41 + 30y = 1 + -41 Combine like terms: 41 + -41 = 0 0 + 30y = 1 + -41 30y = 1 + -41 Combine like terms: 1 + -41 = -40 30y = -40 Divide each side by '30'. y = -1.333333333 Simplifying y = -1.333333333
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