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