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Simplifying 3(4y + 1) + -9y = 6(2 + -1y) Reorder the terms: 3(1 + 4y) + -9y = 6(2 + -1y) (1 * 3 + 4y * 3) + -9y = 6(2 + -1y) (3 + 12y) + -9y = 6(2 + -1y) Combine like terms: 12y + -9y = 3y 3 + 3y = 6(2 + -1y) 3 + 3y = (2 * 6 + -1y * 6) 3 + 3y = (12 + -6y) Solving 3 + 3y = 12 + -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. 3 + 3y + 6y = 12 + -6y + 6y Combine like terms: 3y + 6y = 9y 3 + 9y = 12 + -6y + 6y Combine like terms: -6y + 6y = 0 3 + 9y = 12 + 0 3 + 9y = 12 Add '-3' to each side of the equation. 3 + -3 + 9y = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 9y = 12 + -3 9y = 12 + -3 Combine like terms: 12 + -3 = 9 9y = 9 Divide each side by '9'. y = 1 Simplifying y = 1
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