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Simplifying 31 + 3y + -10 = 11y + -9 + -3y Reorder the terms: 31 + -10 + 3y = 11y + -9 + -3y Combine like terms: 31 + -10 = 21 21 + 3y = 11y + -9 + -3y Reorder the terms: 21 + 3y = -9 + 11y + -3y Combine like terms: 11y + -3y = 8y 21 + 3y = -9 + 8y Solving 21 + 3y = -9 + 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. 21 + 3y + -8y = -9 + 8y + -8y Combine like terms: 3y + -8y = -5y 21 + -5y = -9 + 8y + -8y Combine like terms: 8y + -8y = 0 21 + -5y = -9 + 0 21 + -5y = -9 Add '-21' to each side of the equation. 21 + -21 + -5y = -9 + -21 Combine like terms: 21 + -21 = 0 0 + -5y = -9 + -21 -5y = -9 + -21 Combine like terms: -9 + -21 = -30 -5y = -30 Divide each side by '-5'. y = 6 Simplifying y = 6
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