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Simplifying 3y + 7 = 31 + -5y Reorder the terms: 7 + 3y = 31 + -5y Solving 7 + 3y = 31 + -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. 7 + 3y + 5y = 31 + -5y + 5y Combine like terms: 3y + 5y = 8y 7 + 8y = 31 + -5y + 5y Combine like terms: -5y + 5y = 0 7 + 8y = 31 + 0 7 + 8y = 31 Add '-7' to each side of the equation. 7 + -7 + 8y = 31 + -7 Combine like terms: 7 + -7 = 0 0 + 8y = 31 + -7 8y = 31 + -7 Combine like terms: 31 + -7 = 24 8y = 24 Divide each side by '8'. y = 3 Simplifying y = 3
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