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Simplifying 4(y + 3) + 12 + 2y = (9y + 6) + -8 Reorder the terms: 4(3 + y) + 12 + 2y = (9y + 6) + -8 (3 * 4 + y * 4) + 12 + 2y = (9y + 6) + -8 (12 + 4y) + 12 + 2y = (9y + 6) + -8 Reorder the terms: 12 + 12 + 4y + 2y = (9y + 6) + -8 Combine like terms: 12 + 12 = 24 24 + 4y + 2y = (9y + 6) + -8 Combine like terms: 4y + 2y = 6y 24 + 6y = (9y + 6) + -8 Reorder the terms: 24 + 6y = (6 + 9y) + -8 Remove parenthesis around (6 + 9y) 24 + 6y = 6 + 9y + -8 Reorder the terms: 24 + 6y = 6 + -8 + 9y Combine like terms: 6 + -8 = -2 24 + 6y = -2 + 9y Solving 24 + 6y = -2 + 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. 24 + 6y + -9y = -2 + 9y + -9y Combine like terms: 6y + -9y = -3y 24 + -3y = -2 + 9y + -9y Combine like terms: 9y + -9y = 0 24 + -3y = -2 + 0 24 + -3y = -2 Add '-24' to each side of the equation. 24 + -24 + -3y = -2 + -24 Combine like terms: 24 + -24 = 0 0 + -3y = -2 + -24 -3y = -2 + -24 Combine like terms: -2 + -24 = -26 -3y = -26 Divide each side by '-3'. y = 8.666666667 Simplifying y = 8.666666667
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