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Simplifying 5(y + -1) + 9 = 8y + 6 + -5y Reorder the terms: 5(-1 + y) + 9 = 8y + 6 + -5y (-1 * 5 + y * 5) + 9 = 8y + 6 + -5y (-5 + 5y) + 9 = 8y + 6 + -5y Reorder the terms: -5 + 9 + 5y = 8y + 6 + -5y Combine like terms: -5 + 9 = 4 4 + 5y = 8y + 6 + -5y Reorder the terms: 4 + 5y = 6 + 8y + -5y Combine like terms: 8y + -5y = 3y 4 + 5y = 6 + 3y Solving 4 + 5y = 6 + 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. 4 + 5y + -3y = 6 + 3y + -3y Combine like terms: 5y + -3y = 2y 4 + 2y = 6 + 3y + -3y Combine like terms: 3y + -3y = 0 4 + 2y = 6 + 0 4 + 2y = 6 Add '-4' to each side of the equation. 4 + -4 + 2y = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 2y = 6 + -4 2y = 6 + -4 Combine like terms: 6 + -4 = 2 2y = 2 Divide each side by '2'. y = 1 Simplifying y = 1
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