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Simplifying -9 = -6y + 3(y + -8) Reorder the terms: -9 = -6y + 3(-8 + y) -9 = -6y + (-8 * 3 + y * 3) -9 = -6y + (-24 + 3y) Reorder the terms: -9 = -24 + -6y + 3y Combine like terms: -6y + 3y = -3y -9 = -24 + -3y Solving -9 = -24 + -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 = -24 + -3y + 3y Combine like terms: -3y + 3y = 0 -9 + 3y = -24 + 0 -9 + 3y = -24 Add '9' to each side of the equation. -9 + 9 + 3y = -24 + 9 Combine like terms: -9 + 9 = 0 0 + 3y = -24 + 9 3y = -24 + 9 Combine like terms: -24 + 9 = -15 3y = -15 Divide each side by '3'. y = -5 Simplifying y = -5
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