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Simplifying 11 + 3(y + 2) = 5y + 15 Reorder the terms: 11 + 3(2 + y) = 5y + 15 11 + (2 * 3 + y * 3) = 5y + 15 11 + (6 + 3y) = 5y + 15 Combine like terms: 11 + 6 = 17 17 + 3y = 5y + 15 Reorder the terms: 17 + 3y = 15 + 5y Solving 17 + 3y = 15 + 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. 17 + 3y + -5y = 15 + 5y + -5y Combine like terms: 3y + -5y = -2y 17 + -2y = 15 + 5y + -5y Combine like terms: 5y + -5y = 0 17 + -2y = 15 + 0 17 + -2y = 15 Add '-17' to each side of the equation. 17 + -17 + -2y = 15 + -17 Combine like terms: 17 + -17 = 0 0 + -2y = 15 + -17 -2y = 15 + -17 Combine like terms: 15 + -17 = -2 -2y = -2 Divide each side by '-2'. y = 1 Simplifying y = 1
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