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Simplifying -6y + -24 = 2(4y + 9) Reorder the terms: -24 + -6y = 2(4y + 9) Reorder the terms: -24 + -6y = 2(9 + 4y) -24 + -6y = (9 * 2 + 4y * 2) -24 + -6y = (18 + 8y) Solving -24 + -6y = 18 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -24 + -6y + -8y = 18 + 8y + -8y Combine like terms: -6y + -8y = -14y -24 + -14y = 18 + 8y + -8y Combine like terms: 8y + -8y = 0 -24 + -14y = 18 + 0 -24 + -14y = 18 Add '24' to each side of the equation. -24 + 24 + -14y = 18 + 24 Combine like terms: -24 + 24 = 0 0 + -14y = 18 + 24 -14y = 18 + 24 Combine like terms: 18 + 24 = 42 -14y = 42 Divide each side by '-14'. y = -3 Simplifying y = -3
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