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Simplifying 4y + -7 + y + 38 = 6y + 40 + -4y Reorder the terms: -7 + 38 + 4y + y = 6y + 40 + -4y Combine like terms: -7 + 38 = 31 31 + 4y + y = 6y + 40 + -4y Combine like terms: 4y + y = 5y 31 + 5y = 6y + 40 + -4y Reorder the terms: 31 + 5y = 40 + 6y + -4y Combine like terms: 6y + -4y = 2y 31 + 5y = 40 + 2y Solving 31 + 5y = 40 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 31 + 5y + -2y = 40 + 2y + -2y Combine like terms: 5y + -2y = 3y 31 + 3y = 40 + 2y + -2y Combine like terms: 2y + -2y = 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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