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Simplifying 2(3y + 1) = 14 + 3y Reorder the terms: 2(1 + 3y) = 14 + 3y (1 * 2 + 3y * 2) = 14 + 3y (2 + 6y) = 14 + 3y Solving 2 + 6y = 14 + 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. 2 + 6y + -3y = 14 + 3y + -3y Combine like terms: 6y + -3y = 3y 2 + 3y = 14 + 3y + -3y Combine like terms: 3y + -3y = 0 2 + 3y = 14 + 0 2 + 3y = 14 Add '-2' to each side of the equation. 2 + -2 + 3y = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 3y = 14 + -2 3y = 14 + -2 Combine like terms: 14 + -2 = 12 3y = 12 Divide each side by '3'. y = 4 Simplifying y = 4
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