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Simplifying 17 = 5(y + 3) + -7y Reorder the terms: 17 = 5(3 + y) + -7y 17 = (3 * 5 + y * 5) + -7y 17 = (15 + 5y) + -7y Combine like terms: 5y + -7y = -2y 17 = 15 + -2y Solving 17 = 15 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 17 + 2y = 15 + -2y + 2y Combine like terms: -2y + 2y = 0 17 + 2y = 15 + 0 17 + 2y = 15 Add '-17' to each side of the equation. 17 + -17 + 2y = 15 + -17 Combine like terms: 17 + -17 = 0 0 + 2y = 15 + -17 2y = 15 + -17 Combine like terms: 15 + -17 = -2 2y = -2 Divide each side by '2'. y = -1 Simplifying y = -1
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