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Simplifying 4(3y + 1) = 6(3 + -1y) Reorder the terms: 4(1 + 3y) = 6(3 + -1y) (1 * 4 + 3y * 4) = 6(3 + -1y) (4 + 12y) = 6(3 + -1y) 4 + 12y = (3 * 6 + -1y * 6) 4 + 12y = (18 + -6y) Solving 4 + 12y = 18 + -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. 4 + 12y + 6y = 18 + -6y + 6y Combine like terms: 12y + 6y = 18y 4 + 18y = 18 + -6y + 6y Combine like terms: -6y + 6y = 0 4 + 18y = 18 + 0 4 + 18y = 18 Add '-4' to each side of the equation. 4 + -4 + 18y = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 18y = 18 + -4 18y = 18 + -4 Combine like terms: 18 + -4 = 14 18y = 14 Divide each side by '18'. y = 0.7777777778 Simplifying y = 0.7777777778
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