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Simplifying 2y + -31 = -9y + 24 Reorder the terms: -31 + 2y = -9y + 24 Reorder the terms: -31 + 2y = 24 + -9y Solving -31 + 2y = 24 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. -31 + 2y + 9y = 24 + -9y + 9y Combine like terms: 2y + 9y = 11y -31 + 11y = 24 + -9y + 9y Combine like terms: -9y + 9y = 0 -31 + 11y = 24 + 0 -31 + 11y = 24 Add '31' to each side of the equation. -31 + 31 + 11y = 24 + 31 Combine like terms: -31 + 31 = 0 0 + 11y = 24 + 31 11y = 24 + 31 Combine like terms: 24 + 31 = 55 11y = 55 Divide each side by '11'. y = 5 Simplifying y = 5
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