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