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Simplifying -7y + -27 = 6(y + 2) Reorder the terms: -27 + -7y = 6(y + 2) Reorder the terms: -27 + -7y = 6(2 + y) -27 + -7y = (2 * 6 + y * 6) -27 + -7y = (12 + 6y) Solving -27 + -7y = 12 + 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 + -7y + -6y = 12 + 6y + -6y Combine like terms: -7y + -6y = -13y -27 + -13y = 12 + 6y + -6y Combine like terms: 6y + -6y = 0 -27 + -13y = 12 + 0 -27 + -13y = 12 Add '27' to each side of the equation. -27 + 27 + -13y = 12 + 27 Combine like terms: -27 + 27 = 0 0 + -13y = 12 + 27 -13y = 12 + 27 Combine like terms: 12 + 27 = 39 -13y = 39 Divide each side by '-13'. y = -3 Simplifying y = -3
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