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Simplifying -6 + 5y + -8 = 5y + 17 + -2y Reorder the terms: -6 + -8 + 5y = 5y + 17 + -2y Combine like terms: -6 + -8 = -14 -14 + 5y = 5y + 17 + -2y Reorder the terms: -14 + 5y = 17 + 5y + -2y Combine like terms: 5y + -2y = 3y -14 + 5y = 17 + 3y Solving -14 + 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. -14 + 5y + -3y = 17 + 3y + -3y Combine like terms: 5y + -3y = 2y -14 + 2y = 17 + 3y + -3y Combine like terms: 3y + -3y = 0 -14 + 2y = 17 + 0 -14 + 2y = 17 Add '14' to each side of the equation. -14 + 14 + 2y = 17 + 14 Combine like terms: -14 + 14 = 0 0 + 2y = 17 + 14 2y = 17 + 14 Combine like terms: 17 + 14 = 31 2y = 31 Divide each side by '2'. y = 15.5 Simplifying y = 15.5
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