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Simplifying 2y + 31 = 5y + 10 Reorder the terms: 31 + 2y = 5y + 10 Reorder the terms: 31 + 2y = 10 + 5y Solving 31 + 2y = 10 + 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. 31 + 2y + -5y = 10 + 5y + -5y Combine like terms: 2y + -5y = -3y 31 + -3y = 10 + 5y + -5y Combine like terms: 5y + -5y = 0 31 + -3y = 10 + 0 31 + -3y = 10 Add '-31' to each side of the equation. 31 + -31 + -3y = 10 + -31 Combine like terms: 31 + -31 = 0 0 + -3y = 10 + -31 -3y = 10 + -31 Combine like terms: 10 + -31 = -21 -3y = -21 Divide each side by '-3'. y = 7 Simplifying y = 7
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