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Simplifying -9y + 27 = -3(y + 7) Reorder the terms: 27 + -9y = -3(y + 7) Reorder the terms: 27 + -9y = -3(7 + y) 27 + -9y = (7 * -3 + y * -3) 27 + -9y = (-21 + -3y) Solving 27 + -9y = -21 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 27 + -9y + 3y = -21 + -3y + 3y Combine like terms: -9y + 3y = -6y 27 + -6y = -21 + -3y + 3y Combine like terms: -3y + 3y = 0 27 + -6y = -21 + 0 27 + -6y = -21 Add '-27' to each side of the equation. 27 + -27 + -6y = -21 + -27 Combine like terms: 27 + -27 = 0 0 + -6y = -21 + -27 -6y = -21 + -27 Combine like terms: -21 + -27 = -48 -6y = -48 Divide each side by '-6'. y = 8 Simplifying y = 8
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