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Simplifying 6(3 + -5y) + -9 = 15 + -6y (3 * 6 + -5y * 6) + -9 = 15 + -6y (18 + -30y) + -9 = 15 + -6y Reorder the terms: 18 + -9 + -30y = 15 + -6y Combine like terms: 18 + -9 = 9 9 + -30y = 15 + -6y Solving 9 + -30y = 15 + -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. 9 + -30y + 6y = 15 + -6y + 6y Combine like terms: -30y + 6y = -24y 9 + -24y = 15 + -6y + 6y Combine like terms: -6y + 6y = 0 9 + -24y = 15 + 0 9 + -24y = 15 Add '-9' to each side of the equation. 9 + -9 + -24y = 15 + -9 Combine like terms: 9 + -9 = 0 0 + -24y = 15 + -9 -24y = 15 + -9 Combine like terms: 15 + -9 = 6 -24y = 6 Divide each side by '-24'. y = -0.25 Simplifying y = -0.25
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