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Simplifying 3(y + 6) + 12 = (9y + -30) + -18 Reorder the terms: 3(6 + y) + 12 = (9y + -30) + -18 (6 * 3 + y * 3) + 12 = (9y + -30) + -18 (18 + 3y) + 12 = (9y + -30) + -18 Reorder the terms: 18 + 12 + 3y = (9y + -30) + -18 Combine like terms: 18 + 12 = 30 30 + 3y = (9y + -30) + -18 Reorder the terms: 30 + 3y = (-30 + 9y) + -18 Remove parenthesis around (-30 + 9y) 30 + 3y = -30 + 9y + -18 Reorder the terms: 30 + 3y = -30 + -18 + 9y Combine like terms: -30 + -18 = -48 30 + 3y = -48 + 9y Solving 30 + 3y = -48 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 30 + 3y + -9y = -48 + 9y + -9y Combine like terms: 3y + -9y = -6y 30 + -6y = -48 + 9y + -9y Combine like terms: 9y + -9y = 0 30 + -6y = -48 + 0 30 + -6y = -48 Add '-30' to each side of the equation. 30 + -30 + -6y = -48 + -30 Combine like terms: 30 + -30 = 0 0 + -6y = -48 + -30 -6y = -48 + -30 Combine like terms: -48 + -30 = -78 -6y = -78 Divide each side by '-6'. y = 13 Simplifying y = 13
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