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Simplifying 6(5y + -2) = 24y Reorder the terms: 6(-2 + 5y) = 24y (-2 * 6 + 5y * 6) = 24y (-12 + 30y) = 24y Solving -12 + 30y = 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. -12 + 30y + -24y = 24y + -24y Combine like terms: 30y + -24y = 6y -12 + 6y = 24y + -24y Combine like terms: 24y + -24y = 0 -12 + 6y = 0 Add '12' to each side of the equation. -12 + 12 + 6y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 6y = 0 + 12 6y = 0 + 12 Combine like terms: 0 + 12 = 12 6y = 12 Divide each side by '6'. y = 2 Simplifying y = 2
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