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Simplifying 2(3 + y) + 13 = 5(y + 2) (3 * 2 + y * 2) + 13 = 5(y + 2) (6 + 2y) + 13 = 5(y + 2) Reorder the terms: 6 + 13 + 2y = 5(y + 2) Combine like terms: 6 + 13 = 19 19 + 2y = 5(y + 2) Reorder the terms: 19 + 2y = 5(2 + y) 19 + 2y = (2 * 5 + y * 5) 19 + 2y = (10 + 5y) Solving 19 + 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. 19 + 2y + -5y = 10 + 5y + -5y Combine like terms: 2y + -5y = -3y 19 + -3y = 10 + 5y + -5y Combine like terms: 5y + -5y = 0 19 + -3y = 10 + 0 19 + -3y = 10 Add '-19' to each side of the equation. 19 + -19 + -3y = 10 + -19 Combine like terms: 19 + -19 = 0 0 + -3y = 10 + -19 -3y = 10 + -19 Combine like terms: 10 + -19 = -9 -3y = -9 Divide each side by '-3'. y = 3 Simplifying y = 3
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