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Simplifying 13(3 + y) = 5(2y + 8) (3 * 13 + y * 13) = 5(2y + 8) (39 + 13y) = 5(2y + 8) Reorder the terms: 39 + 13y = 5(8 + 2y) 39 + 13y = (8 * 5 + 2y * 5) 39 + 13y = (40 + 10y) Solving 39 + 13y = 40 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 39 + 13y + -10y = 40 + 10y + -10y Combine like terms: 13y + -10y = 3y 39 + 3y = 40 + 10y + -10y Combine like terms: 10y + -10y = 0 39 + 3y = 40 + 0 39 + 3y = 40 Add '-39' to each side of the equation. 39 + -39 + 3y = 40 + -39 Combine like terms: 39 + -39 = 0 0 + 3y = 40 + -39 3y = 40 + -39 Combine like terms: 40 + -39 = 1 3y = 1 Divide each side by '3'. y = 0.3333333333 Simplifying y = 0.3333333333
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