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