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Simplifying 10y + 22 = 31 + 7y Reorder the terms: 22 + 10y = 31 + 7y Solving 22 + 10y = 31 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 22 + 10y + -7y = 31 + 7y + -7y Combine like terms: 10y + -7y = 3y 22 + 3y = 31 + 7y + -7y Combine like terms: 7y + -7y = 0 22 + 3y = 31 + 0 22 + 3y = 31 Add '-22' to each side of the equation. 22 + -22 + 3y = 31 + -22 Combine like terms: 22 + -22 = 0 0 + 3y = 31 + -22 3y = 31 + -22 Combine like terms: 31 + -22 = 9 3y = 9 Divide each side by '3'. y = 3 Simplifying y = 3
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