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