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Simplifying 9y + -24 = 3(y + 4) Reorder the terms: -24 + 9y = 3(y + 4) Reorder the terms: -24 + 9y = 3(4 + y) -24 + 9y = (4 * 3 + y * 3) -24 + 9y = (12 + 3y) Solving -24 + 9y = 12 + 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. -24 + 9y + -3y = 12 + 3y + -3y Combine like terms: 9y + -3y = 6y -24 + 6y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 -24 + 6y = 12 + 0 -24 + 6y = 12 Add '24' to each side of the equation. -24 + 24 + 6y = 12 + 24 Combine like terms: -24 + 24 = 0 0 + 6y = 12 + 24 6y = 12 + 24 Combine like terms: 12 + 24 = 36 6y = 36 Divide each side by '6'. y = 6 Simplifying y = 6
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