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Simplifying 3(y + -6) = 9y + -24 Reorder the terms: 3(-6 + y) = 9y + -24 (-6 * 3 + y * 3) = 9y + -24 (-18 + 3y) = 9y + -24 Reorder the terms: -18 + 3y = -24 + 9y Solving -18 + 3y = -24 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -18 + 3y + -9y = -24 + 9y + -9y Combine like terms: 3y + -9y = -6y -18 + -6y = -24 + 9y + -9y Combine like terms: 9y + -9y = 0 -18 + -6y = -24 + 0 -18 + -6y = -24 Add '18' to each side of the equation. -18 + 18 + -6y = -24 + 18 Combine like terms: -18 + 18 = 0 0 + -6y = -24 + 18 -6y = -24 + 18 Combine like terms: -24 + 18 = -6 -6y = -6 Divide each side by '-6'. y = 1 Simplifying y = 1
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