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Simplifying -9 = 5(y + -6) + -8y Reorder the terms: -9 = 5(-6 + y) + -8y -9 = (-6 * 5 + y * 5) + -8y -9 = (-30 + 5y) + -8y Combine like terms: 5y + -8y = -3y -9 = -30 + -3y Solving -9 = -30 + -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 = -30 + -3y + 3y Combine like terms: -3y + 3y = 0 -9 + 3y = -30 + 0 -9 + 3y = -30 Add '9' to each side of the equation. -9 + 9 + 3y = -30 + 9 Combine like terms: -9 + 9 = 0 0 + 3y = -30 + 9 3y = -30 + 9 Combine like terms: -30 + 9 = -21 3y = -21 Divide each side by '3'. y = -7 Simplifying y = -7
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