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Simplifying 9(y + -3) = -6y + -12 Reorder the terms: 9(-3 + y) = -6y + -12 (-3 * 9 + y * 9) = -6y + -12 (-27 + 9y) = -6y + -12 Reorder the terms: -27 + 9y = -12 + -6y Solving -27 + 9y = -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 + 9y + 6y = -12 + -6y + 6y Combine like terms: 9y + 6y = 15y -27 + 15y = -12 + -6y + 6y Combine like terms: -6y + 6y = 0 -27 + 15y = -12 + 0 -27 + 15y = -12 Add '27' to each side of the equation. -27 + 27 + 15y = -12 + 27 Combine like terms: -27 + 27 = 0 0 + 15y = -12 + 27 15y = -12 + 27 Combine like terms: -12 + 27 = 15 15y = 15 Divide each side by '15'. y = 1 Simplifying y = 1
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