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Simplifying 3y + 12 = 3(2y + 2) Reorder the terms: 12 + 3y = 3(2y + 2) Reorder the terms: 12 + 3y = 3(2 + 2y) 12 + 3y = (2 * 3 + 2y * 3) 12 + 3y = (6 + 6y) Solving 12 + 3y = 6 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 12 + 3y + -6y = 6 + 6y + -6y Combine like terms: 3y + -6y = -3y 12 + -3y = 6 + 6y + -6y Combine like terms: 6y + -6y = 0 12 + -3y = 6 + 0 12 + -3y = 6 Add '-12' to each side of the equation. 12 + -12 + -3y = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -3y = 6 + -12 -3y = 6 + -12 Combine like terms: 6 + -12 = -6 -3y = -6 Divide each side by '-3'. y = 2 Simplifying y = 2
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