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Simplifying -9 = 3(y + 4) + -6y Reorder the terms: -9 = 3(4 + y) + -6y -9 = (4 * 3 + y * 3) + -6y -9 = (12 + 3y) + -6y Combine like terms: 3y + -6y = -3y -9 = 12 + -3y Solving -9 = 12 + -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. -9 + 3y = 12 + -3y + 3y Combine like terms: -3y + 3y = 0 -9 + 3y = 12 + 0 -9 + 3y = 12 Add '9' to each side of the equation. -9 + 9 + 3y = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 3y = 12 + 9 3y = 12 + 9 Combine like terms: 12 + 9 = 21 3y = 21 Divide each side by '3'. y = 7 Simplifying y = 7
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