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Simplifying -9(y + 2) = 6y + 27 Reorder the terms: -9(2 + y) = 6y + 27 (2 * -9 + y * -9) = 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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