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Simplifying 6(2 + y) = 5(3 + y) (2 * 6 + y * 6) = 5(3 + y) (12 + 6y) = 5(3 + y) 12 + 6y = (3 * 5 + y * 5) 12 + 6y = (15 + 5y) Solving 12 + 6y = 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. 12 + 6y + -5y = 15 + 5y + -5y Combine like terms: 6y + -5y = 1y 12 + 1y = 15 + 5y + -5y Combine like terms: 5y + -5y = 0 12 + 1y = 15 + 0 12 + 1y = 15 Add '-12' to each side of the equation. 12 + -12 + 1y = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 1y = 15 + -12 1y = 15 + -12 Combine like terms: 15 + -12 = 3 1y = 3 Divide each side by '1'. y = 3 Simplifying y = 3
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