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Simplifying 24(y + -1) = -6(5 + y) Reorder the terms: 24(-1 + y) = -6(5 + y) (-1 * 24 + y * 24) = -6(5 + y) (-24 + 24y) = -6(5 + y) -24 + 24y = (5 * -6 + y * -6) -24 + 24y = (-30 + -6y) Solving -24 + 24y = -30 + -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. -24 + 24y + 6y = -30 + -6y + 6y Combine like terms: 24y + 6y = 30y -24 + 30y = -30 + -6y + 6y Combine like terms: -6y + 6y = 0 -24 + 30y = -30 + 0 -24 + 30y = -30 Add '24' to each side of the equation. -24 + 24 + 30y = -30 + 24 Combine like terms: -24 + 24 = 0 0 + 30y = -30 + 24 30y = -30 + 24 Combine like terms: -30 + 24 = -6 30y = -6 Divide each side by '30'. y = -0.2 Simplifying y = -0.2
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