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Simplifying 3(y + 6) = 5y + 12 Reorder the terms: 3(6 + y) = 5y + 12 (6 * 3 + y * 3) = 5y + 12 (18 + 3y) = 5y + 12 Reorder the terms: 18 + 3y = 12 + 5y Solving 18 + 3y = 12 + 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. 18 + 3y + -5y = 12 + 5y + -5y Combine like terms: 3y + -5y = -2y 18 + -2y = 12 + 5y + -5y Combine like terms: 5y + -5y = 0 18 + -2y = 12 + 0 18 + -2y = 12 Add '-18' to each side of the equation. 18 + -18 + -2y = 12 + -18 Combine like terms: 18 + -18 = 0 0 + -2y = 12 + -18 -2y = 12 + -18 Combine like terms: 12 + -18 = -6 -2y = -6 Divide each side by '-2'. y = 3 Simplifying y = 3
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