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Simplifying -2y + -11 = 5y + 31 Reorder the terms: -11 + -2y = 5y + 31 Reorder the terms: -11 + -2y = 31 + 5y Solving -11 + -2y = 31 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -11 + -2y + -5y = 31 + 5y + -5y Combine like terms: -2y + -5y = -7y -11 + -7y = 31 + 5y + -5y Combine like terms: 5y + -5y = 0 -11 + -7y = 31 + 0 -11 + -7y = 31 Add '11' to each side of the equation. -11 + 11 + -7y = 31 + 11 Combine like terms: -11 + 11 = 0 0 + -7y = 31 + 11 -7y = 31 + 11 Combine like terms: 31 + 11 = 42 -7y = 42 Divide each side by '-7'. y = -6 Simplifying y = -6
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