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Simplifying 6 + 8y + -5 = 9y + 41 + -6y Reorder the terms: 6 + -5 + 8y = 9y + 41 + -6y Combine like terms: 6 + -5 = 1 1 + 8y = 9y + 41 + -6y Reorder the terms: 1 + 8y = 41 + 9y + -6y Combine like terms: 9y + -6y = 3y 1 + 8y = 41 + 3y Solving 1 + 8y = 41 + 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. 1 + 8y + -3y = 41 + 3y + -3y Combine like terms: 8y + -3y = 5y 1 + 5y = 41 + 3y + -3y Combine like terms: 3y + -3y = 0 1 + 5y = 41 + 0 1 + 5y = 41 Add '-1' to each side of the equation. 1 + -1 + 5y = 41 + -1 Combine like terms: 1 + -1 = 0 0 + 5y = 41 + -1 5y = 41 + -1 Combine like terms: 41 + -1 = 40 5y = 40 Divide each side by '5'. y = 8 Simplifying y = 8
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