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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 = -3 3y = -3 Divide each side by '3'. y = -1 Simplifying y = -1
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