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Simplifying 17 + 9y = 5(3y + 1) Reorder the terms: 17 + 9y = 5(1 + 3y) 17 + 9y = (1 * 5 + 3y * 5) 17 + 9y = (5 + 15y) Solving 17 + 9y = 5 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 17 + 9y + -15y = 5 + 15y + -15y Combine like terms: 9y + -15y = -6y 17 + -6y = 5 + 15y + -15y Combine like terms: 15y + -15y = 0 17 + -6y = 5 + 0 17 + -6y = 5 Add '-17' to each side of the equation. 17 + -17 + -6y = 5 + -17 Combine like terms: 17 + -17 = 0 0 + -6y = 5 + -17 -6y = 5 + -17 Combine like terms: 5 + -17 = -12 -6y = -12 Divide each side by '-6'. y = 2 Simplifying y = 2
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