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Simplifying -3(y + 9) = 3y + -21 Reorder the terms: -3(9 + y) = 3y + -21 (9 * -3 + y * -3) = 3y + -21 (-27 + -3y) = 3y + -21 Reorder the terms: -27 + -3y = -21 + 3y Solving -27 + -3y = -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 + -3y + -3y = -21 + 3y + -3y Combine like terms: -3y + -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 = 6 -6y = 6 Divide each side by '-6'. y = -1 Simplifying y = -1
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