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Simplifying -31 + -15y + 17 = -27y + 91 + 5y Reorder the terms: -31 + 17 + -15y = -27y + 91 + 5y Combine like terms: -31 + 17 = -14 -14 + -15y = -27y + 91 + 5y Reorder the terms: -14 + -15y = 91 + -27y + 5y Combine like terms: -27y + 5y = -22y -14 + -15y = 91 + -22y Solving -14 + -15y = 91 + -22y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '22y' to each side of the equation. -14 + -15y + 22y = 91 + -22y + 22y Combine like terms: -15y + 22y = 7y -14 + 7y = 91 + -22y + 22y Combine like terms: -22y + 22y = 0 -14 + 7y = 91 + 0 -14 + 7y = 91 Add '14' to each side of the equation. -14 + 14 + 7y = 91 + 14 Combine like terms: -14 + 14 = 0 0 + 7y = 91 + 14 7y = 91 + 14 Combine like terms: 91 + 14 = 105 7y = 105 Divide each side by '7'. y = 15 Simplifying y = 15
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