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Simplifying -3y + -2 = 8y + 31 Reorder the terms: -2 + -3y = 8y + 31 Reorder the terms: -2 + -3y = 31 + 8y Solving -2 + -3y = 31 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -2 + -3y + -8y = 31 + 8y + -8y Combine like terms: -3y + -8y = -11y -2 + -11y = 31 + 8y + -8y Combine like terms: 8y + -8y = 0 -2 + -11y = 31 + 0 -2 + -11y = 31 Add '2' to each side of the equation. -2 + 2 + -11y = 31 + 2 Combine like terms: -2 + 2 = 0 0 + -11y = 31 + 2 -11y = 31 + 2 Combine like terms: 31 + 2 = 33 -11y = 33 Divide each side by '-11'. y = -3 Simplifying y = -3
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