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Simplifying 4y + -17 = 2(5 + -1y) Reorder the terms: -17 + 4y = 2(5 + -1y) -17 + 4y = (5 * 2 + -1y * 2) -17 + 4y = (10 + -2y) Solving -17 + 4y = 10 + -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 + 4y + 2y = 10 + -2y + 2y Combine like terms: 4y + 2y = 6y -17 + 6y = 10 + -2y + 2y Combine like terms: -2y + 2y = 0 -17 + 6y = 10 + 0 -17 + 6y = 10 Add '17' to each side of the equation. -17 + 17 + 6y = 10 + 17 Combine like terms: -17 + 17 = 0 0 + 6y = 10 + 17 6y = 10 + 17 Combine like terms: 10 + 17 = 27 6y = 27 Divide each side by '6'. y = 4.5 Simplifying y = 4.5
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