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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 = 22 18y = 22 Divide each side by '18'. y = 1.222222222 Simplifying y = 1.222222222
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