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Simplifying -6y + 12 + -3(2 + 4y) = 5(4y + 3) + -2y -6y + 12 + (2 * -3 + 4y * -3) = 5(4y + 3) + -2y -6y + 12 + (-6 + -12y) = 5(4y + 3) + -2y Reorder the terms: 12 + -6 + -6y + -12y = 5(4y + 3) + -2y Combine like terms: 12 + -6 = 6 6 + -6y + -12y = 5(4y + 3) + -2y Combine like terms: -6y + -12y = -18y 6 + -18y = 5(4y + 3) + -2y Reorder the terms: 6 + -18y = 5(3 + 4y) + -2y 6 + -18y = (3 * 5 + 4y * 5) + -2y 6 + -18y = (15 + 20y) + -2y Combine like terms: 20y + -2y = 18y 6 + -18y = 15 + 18y Solving 6 + -18y = 15 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. 6 + -18y + -18y = 15 + 18y + -18y Combine like terms: -18y + -18y = -36y 6 + -36y = 15 + 18y + -18y Combine like terms: 18y + -18y = 0 6 + -36y = 15 + 0 6 + -36y = 15 Add '-6' to each side of the equation. 6 + -6 + -36y = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -36y = 15 + -6 -36y = 15 + -6 Combine like terms: 15 + -6 = 9 -36y = 9 Divide each side by '-36'. y = -0.25 Simplifying y = -0.25
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