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Simplifying 9y + -17 = 31 + y Reorder the terms: -17 + 9y = 31 + y Solving -17 + 9y = 31 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -17 + 9y + -1y = 31 + y + -1y Combine like terms: 9y + -1y = 8y -17 + 8y = 31 + y + -1y Combine like terms: y + -1y = 0 -17 + 8y = 31 + 0 -17 + 8y = 31 Add '17' to each side of the equation. -17 + 17 + 8y = 31 + 17 Combine like terms: -17 + 17 = 0 0 + 8y = 31 + 17 8y = 31 + 17 Combine like terms: 31 + 17 = 48 8y = 48 Divide each side by '8'. y = 6 Simplifying y = 6
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