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Simplifying [2(y + 5) + -5] + 9 = 5(y + -1) Reorder the terms: [2(5 + y) + -5] + 9 = 5(y + -1) [(5 * 2 + y * 2) + -5] + 9 = 5(y + -1) [(10 + 2y) + -5] + 9 = 5(y + -1) Reorder the terms: [10 + -5 + 2y] + 9 = 5(y + -1) Combine like terms: 10 + -5 = 5 [5 + 2y] + 9 = 5(y + -1) Remove brackets around [5 + 2y] 5 + 2y + 9 = 5(y + -1) Reorder the terms: 5 + 9 + 2y = 5(y + -1) Combine like terms: 5 + 9 = 14 14 + 2y = 5(y + -1) Reorder the terms: 14 + 2y = 5(-1 + y) 14 + 2y = (-1 * 5 + y * 5) 14 + 2y = (-5 + 5y) Solving 14 + 2y = -5 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 14 + 2y + -5y = -5 + 5y + -5y Combine like terms: 2y + -5y = -3y 14 + -3y = -5 + 5y + -5y Combine like terms: 5y + -5y = 0 14 + -3y = -5 + 0 14 + -3y = -5 Add '-14' to each side of the equation. 14 + -14 + -3y = -5 + -14 Combine like terms: 14 + -14 = 0 0 + -3y = -5 + -14 -3y = -5 + -14 Combine like terms: -5 + -14 = -19 -3y = -19 Divide each side by '-3'. y = 6.333333333 Simplifying y = 6.333333333
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