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Simplifying 12(15 + 2y) = 4y + -1(6 + -9y) (15 * 12 + 2y * 12) = 4y + -1(6 + -9y) (180 + 24y) = 4y + -1(6 + -9y) 180 + 24y = 4y + (6 * -1 + -9y * -1) 180 + 24y = 4y + (-6 + 9y) Reorder the terms: 180 + 24y = -6 + 4y + 9y Combine like terms: 4y + 9y = 13y 180 + 24y = -6 + 13y Solving 180 + 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. 180 + 24y + -13y = -6 + 13y + -13y Combine like terms: 24y + -13y = 11y 180 + 11y = -6 + 13y + -13y Combine like terms: 13y + -13y = 0 180 + 11y = -6 + 0 180 + 11y = -6 Add '-180' to each side of the equation. 180 + -180 + 11y = -6 + -180 Combine like terms: 180 + -180 = 0 0 + 11y = -6 + -180 11y = -6 + -180 Combine like terms: -6 + -180 = -186 11y = -186 Divide each side by '11'. y = -16.90909091 Simplifying y = -16.90909091
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