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Simplifying -2y + -31 = 6y + 17 Reorder the terms: -31 + -2y = 6y + 17 Reorder the terms: -31 + -2y = 17 + 6y Solving -31 + -2y = 17 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -31 + -2y + -6y = 17 + 6y + -6y Combine like terms: -2y + -6y = -8y -31 + -8y = 17 + 6y + -6y Combine like terms: 6y + -6y = 0 -31 + -8y = 17 + 0 -31 + -8y = 17 Add '31' to each side of the equation. -31 + 31 + -8y = 17 + 31 Combine like terms: -31 + 31 = 0 0 + -8y = 17 + 31 -8y = 17 + 31 Combine like terms: 17 + 31 = 48 -8y = 48 Divide each side by '-8'. y = -6 Simplifying y = -6
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