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Simplifying 2(y + 11) = 5(y + 2) Reorder the terms: 2(11 + y) = 5(y + 2) (11 * 2 + y * 2) = 5(y + 2) (22 + 2y) = 5(y + 2) Reorder the terms: 22 + 2y = 5(2 + y) 22 + 2y = (2 * 5 + y * 5) 22 + 2y = (10 + 5y) Solving 22 + 2y = 10 + 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. 22 + 2y + -5y = 10 + 5y + -5y Combine like terms: 2y + -5y = -3y 22 + -3y = 10 + 5y + -5y Combine like terms: 5y + -5y = 0 22 + -3y = 10 + 0 22 + -3y = 10 Add '-22' to each side of the equation. 22 + -22 + -3y = 10 + -22 Combine like terms: 22 + -22 = 0 0 + -3y = 10 + -22 -3y = 10 + -22 Combine like terms: 10 + -22 = -12 -3y = -12 Divide each side by '-3'. y = 4 Simplifying y = 4
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