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Simplifying -6y + 27 = 3(3y + -6) Reorder the terms: 27 + -6y = 3(3y + -6) Reorder the terms: 27 + -6y = 3(-6 + 3y) 27 + -6y = (-6 * 3 + 3y * 3) 27 + -6y = (-18 + 9y) Solving 27 + -6y = -18 + 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. 27 + -6y + -9y = -18 + 9y + -9y Combine like terms: -6y + -9y = -15y 27 + -15y = -18 + 9y + -9y Combine like terms: 9y + -9y = 0 27 + -15y = -18 + 0 27 + -15y = -18 Add '-27' to each side of the equation. 27 + -27 + -15y = -18 + -27 Combine like terms: 27 + -27 = 0 0 + -15y = -18 + -27 -15y = -18 + -27 Combine like terms: -18 + -27 = -45 -15y = -45 Divide each side by '-15'. y = 3 Simplifying y = 3
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