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Simplifying 4y + -5 + y + 31 = 8y + 30 + -5y Reorder the terms: -5 + 31 + 4y + y = 8y + 30 + -5y Combine like terms: -5 + 31 = 26 26 + 4y + y = 8y + 30 + -5y Combine like terms: 4y + y = 5y 26 + 5y = 8y + 30 + -5y Reorder the terms: 26 + 5y = 30 + 8y + -5y Combine like terms: 8y + -5y = 3y 26 + 5y = 30 + 3y Solving 26 + 5y = 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. 26 + 5y + -3y = 30 + 3y + -3y Combine like terms: 5y + -3y = 2y 26 + 2y = 30 + 3y + -3y Combine like terms: 3y + -3y = 0 26 + 2y = 30 + 0 26 + 2y = 30 Add '-26' to each side of the equation. 26 + -26 + 2y = 30 + -26 Combine like terms: 26 + -26 = 0 0 + 2y = 30 + -26 2y = 30 + -26 Combine like terms: 30 + -26 = 4 2y = 4 Divide each side by '2'. y = 2 Simplifying y = 2
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