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Simplifying 6 + -1(4y + -8) = 9 + -5y Reorder the terms: 6 + -1(-8 + 4y) = 9 + -5y 6 + (-8 * -1 + 4y * -1) = 9 + -5y 6 + (8 + -4y) = 9 + -5y Combine like terms: 6 + 8 = 14 14 + -4y = 9 + -5y Solving 14 + -4y = 9 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 14 + -4y + 5y = 9 + -5y + 5y Combine like terms: -4y + 5y = 1y 14 + 1y = 9 + -5y + 5y Combine like terms: -5y + 5y = 0 14 + 1y = 9 + 0 14 + 1y = 9 Add '-14' to each side of the equation. 14 + -14 + 1y = 9 + -14 Combine like terms: 14 + -14 = 0 0 + 1y = 9 + -14 1y = 9 + -14 Combine like terms: 9 + -14 = -5 1y = -5 Divide each side by '1'. y = -5 Simplifying y = -5
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