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Simplifying 31 + 3y + -13 = 11y + -12 + -3y Reorder the terms: 31 + -13 + 3y = 11y + -12 + -3y Combine like terms: 31 + -13 = 18 18 + 3y = 11y + -12 + -3y Reorder the terms: 18 + 3y = -12 + 11y + -3y Combine like terms: 11y + -3y = 8y 18 + 3y = -12 + 8y Solving 18 + 3y = -12 + 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. 18 + 3y + -8y = -12 + 8y + -8y Combine like terms: 3y + -8y = -5y 18 + -5y = -12 + 8y + -8y Combine like terms: 8y + -8y = 0 18 + -5y = -12 + 0 18 + -5y = -12 Add '-18' to each side of the equation. 18 + -18 + -5y = -12 + -18 Combine like terms: 18 + -18 = 0 0 + -5y = -12 + -18 -5y = -12 + -18 Combine like terms: -12 + -18 = -30 -5y = -30 Divide each side by '-5'. y = 6 Simplifying y = 6
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