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Simplifying 9y + 17 = 6y + 38 Reorder the terms: 17 + 9y = 6y + 38 Reorder the terms: 17 + 9y = 38 + 6y Solving 17 + 9y = 38 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 17 + 9y + -6y = 38 + 6y + -6y Combine like terms: 9y + -6y = 3y 17 + 3y = 38 + 6y + -6y Combine like terms: 6y + -6y = 0 17 + 3y = 38 + 0 17 + 3y = 38 Add '-17' to each side of the equation. 17 + -17 + 3y = 38 + -17 Combine like terms: 17 + -17 = 0 0 + 3y = 38 + -17 3y = 38 + -17 Combine like terms: 38 + -17 = 21 3y = 21 Divide each side by '3'. y = 7 Simplifying y = 7
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