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Simplifying 11y + -31 = 7y + 9 Reorder the terms: -31 + 11y = 7y + 9 Reorder the terms: -31 + 11y = 9 + 7y Solving -31 + 11y = 9 + 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. -31 + 11y + -7y = 9 + 7y + -7y Combine like terms: 11y + -7y = 4y -31 + 4y = 9 + 7y + -7y Combine like terms: 7y + -7y = 0 -31 + 4y = 9 + 0 -31 + 4y = 9 Add '31' to each side of the equation. -31 + 31 + 4y = 9 + 31 Combine like terms: -31 + 31 = 0 0 + 4y = 9 + 31 4y = 9 + 31 Combine like terms: 9 + 31 = 40 4y = 40 Divide each side by '4'. y = 10 Simplifying y = 10
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