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Simplifying -4y + -9 = 7y + -31 Reorder the terms: -9 + -4y = 7y + -31 Reorder the terms: -9 + -4y = -31 + 7y Solving -9 + -4y = -31 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -9 + -4y + -7y = -31 + 7y + -7y Combine like terms: -4y + -7y = -11y -9 + -11y = -31 + 7y + -7y Combine like terms: 7y + -7y = 0 -9 + -11y = -31 + 0 -9 + -11y = -31 Add '9' to each side of the equation. -9 + 9 + -11y = -31 + 9 Combine like terms: -9 + 9 = 0 0 + -11y = -31 + 9 -11y = -31 + 9 Combine like terms: -31 + 9 = -22 -11y = -22 Divide each side by '-11'. y = 2 Simplifying y = 2
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