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Simplifying 6(y + -9) = 3y + -24 Reorder the terms: 6(-9 + y) = 3y + -24 (-9 * 6 + y * 6) = 3y + -24 (-54 + 6y) = 3y + -24 Reorder the terms: -54 + 6y = -24 + 3y Solving -54 + 6y = -24 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -54 + 6y + -3y = -24 + 3y + -3y Combine like terms: 6y + -3y = 3y -54 + 3y = -24 + 3y + -3y Combine like terms: 3y + -3y = 0 -54 + 3y = -24 + 0 -54 + 3y = -24 Add '54' to each side of the equation. -54 + 54 + 3y = -24 + 54 Combine like terms: -54 + 54 = 0 0 + 3y = -24 + 54 3y = -24 + 54 Combine like terms: -24 + 54 = 30 3y = 30 Divide each side by '3'. y = 10 Simplifying y = 10
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