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Simplifying 6(6y + -27) = 3(3y + 9) Reorder the terms: 6(-27 + 6y) = 3(3y + 9) (-27 * 6 + 6y * 6) = 3(3y + 9) (-162 + 36y) = 3(3y + 9) Reorder the terms: -162 + 36y = 3(9 + 3y) -162 + 36y = (9 * 3 + 3y * 3) -162 + 36y = (27 + 9y) Solving -162 + 36y = 27 + 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. -162 + 36y + -9y = 27 + 9y + -9y Combine like terms: 36y + -9y = 27y -162 + 27y = 27 + 9y + -9y Combine like terms: 9y + -9y = 0 -162 + 27y = 27 + 0 -162 + 27y = 27 Add '162' to each side of the equation. -162 + 162 + 27y = 27 + 162 Combine like terms: -162 + 162 = 0 0 + 27y = 27 + 162 27y = 27 + 162 Combine like terms: 27 + 162 = 189 27y = 189 Divide each side by '27'. y = 7 Simplifying y = 7
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