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Simplifying 3(3y + -6) = -6y + 27 Reorder the terms: 3(-6 + 3y) = -6y + 27 (-6 * 3 + 3y * 3) = -6y + 27 (-18 + 9y) = -6y + 27 Reorder the terms: -18 + 9y = 27 + -6y Solving -18 + 9y = 27 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. -18 + 9y + 6y = 27 + -6y + 6y Combine like terms: 9y + 6y = 15y -18 + 15y = 27 + -6y + 6y Combine like terms: -6y + 6y = 0 -18 + 15y = 27 + 0 -18 + 15y = 27 Add '18' to each side of the equation. -18 + 18 + 15y = 27 + 18 Combine like terms: -18 + 18 = 0 0 + 15y = 27 + 18 15y = 27 + 18 Combine like terms: 27 + 18 = 45 15y = 45 Divide each side by '15'. y = 3 Simplifying y = 3
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