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Simplifying 12[5 + 2y] = 4y + -1[6 + -9y] [5 * 12 + 2y * 12] = 4y + -1[6 + -9y] [60 + 24y] = 4y + -1[6 + -9y] 60 + 24y = 4y + [6 * -1 + -9y * -1] 60 + 24y = 4y + [-6 + 9y] Reorder the terms: 60 + 24y = -6 + 4y + 9y Combine like terms: 4y + 9y = 13y 60 + 24y = -6 + 13y Solving 60 + 24y = -6 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 60 + 24y + -13y = -6 + 13y + -13y Combine like terms: 24y + -13y = 11y 60 + 11y = -6 + 13y + -13y Combine like terms: 13y + -13y = 0 60 + 11y = -6 + 0 60 + 11y = -6 Add '-60' to each side of the equation. 60 + -60 + 11y = -6 + -60 Combine like terms: 60 + -60 = 0 0 + 11y = -6 + -60 11y = -6 + -60 Combine like terms: -6 + -60 = -66 11y = -66 Divide each side by '11'. y = -6 Simplifying y = -6
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