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Simplifying 5y + 11 = 3(y + 7) Reorder the terms: 11 + 5y = 3(y + 7) Reorder the terms: 11 + 5y = 3(7 + y) 11 + 5y = (7 * 3 + y * 3) 11 + 5y = (21 + 3y) Solving 11 + 5y = 21 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 11 + 5y + -3y = 21 + 3y + -3y Combine like terms: 5y + -3y = 2y 11 + 2y = 21 + 3y + -3y Combine like terms: 3y + -3y = 0 11 + 2y = 21 + 0 11 + 2y = 21 Add '-11' to each side of the equation. 11 + -11 + 2y = 21 + -11 Combine like terms: 11 + -11 = 0 0 + 2y = 21 + -11 2y = 21 + -11 Combine like terms: 21 + -11 = 10 2y = 10 Divide each side by '2'. y = 5 Simplifying y = 5
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