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Simplifying 31 + 2y + -11 = 11y + -10 + -4y Reorder the terms: 31 + -11 + 2y = 11y + -10 + -4y Combine like terms: 31 + -11 = 20 20 + 2y = 11y + -10 + -4y Reorder the terms: 20 + 2y = -10 + 11y + -4y Combine like terms: 11y + -4y = 7y 20 + 2y = -10 + 7y Solving 20 + 2y = -10 + 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. 20 + 2y + -7y = -10 + 7y + -7y Combine like terms: 2y + -7y = -5y 20 + -5y = -10 + 7y + -7y Combine like terms: 7y + -7y = 0 20 + -5y = -10 + 0 20 + -5y = -10 Add '-20' to each side of the equation. 20 + -20 + -5y = -10 + -20 Combine like terms: 20 + -20 = 0 0 + -5y = -10 + -20 -5y = -10 + -20 Combine like terms: -10 + -20 = -30 -5y = -30 Divide each side by '-5'. y = 6 Simplifying y = 6
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