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Simplifying 5y + 9 = 3y + 17 Reorder the terms: 9 + 5y = 3y + 17 Reorder the terms: 9 + 5y = 17 + 3y Solving 9 + 5y = 17 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 9 + 5y + -3y = 17 + 3y + -3y Combine like terms: 5y + -3y = 2y 9 + 2y = 17 + 3y + -3y Combine like terms: 3y + -3y = 0 9 + 2y = 17 + 0 9 + 2y = 17 Add '-9' to each side of the equation. 9 + -9 + 2y = 17 + -9 Combine like terms: 9 + -9 = 0 0 + 2y = 17 + -9 2y = 17 + -9 Combine like terms: 17 + -9 = 8 2y = 8 Divide each side by '2'. y = 4 Simplifying y = 4
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