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Simplifying 5y + -7 + y + 38 = 6y + 40 + -3y Reorder the terms: -7 + 38 + 5y + y = 6y + 40 + -3y Combine like terms: -7 + 38 = 31 31 + 5y + y = 6y + 40 + -3y Combine like terms: 5y + y = 6y 31 + 6y = 6y + 40 + -3y Reorder the terms: 31 + 6y = 40 + 6y + -3y Combine like terms: 6y + -3y = 3y 31 + 6y = 40 + 3y Solving 31 + 6y = 40 + 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. 31 + 6y + -3y = 40 + 3y + -3y Combine like terms: 6y + -3y = 3y 31 + 3y = 40 + 3y + -3y Combine like terms: 3y + -3y = 0 31 + 3y = 40 + 0 31 + 3y = 40 Add '-31' to each side of the equation. 31 + -31 + 3y = 40 + -31 Combine like terms: 31 + -31 = 0 0 + 3y = 40 + -31 3y = 40 + -31 Combine like terms: 40 + -31 = 9 3y = 9 Divide each side by '3'. y = 3 Simplifying y = 3
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