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Simplifying 8y + 17 = 5y + 35 Reorder the terms: 17 + 8y = 5y + 35 Reorder the terms: 17 + 8y = 35 + 5y Solving 17 + 8y = 35 + 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. 17 + 8y + -5y = 35 + 5y + -5y Combine like terms: 8y + -5y = 3y 17 + 3y = 35 + 5y + -5y Combine like terms: 5y + -5y = 0 17 + 3y = 35 + 0 17 + 3y = 35 Add '-17' to each side of the equation. 17 + -17 + 3y = 35 + -17 Combine like terms: 17 + -17 = 0 0 + 3y = 35 + -17 3y = 35 + -17 Combine like terms: 35 + -17 = 18 3y = 18 Divide each side by '3'. y = 6 Simplifying y = 6
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