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Simplifying 31 + 3y + -6 = 10y + -10 + -2y Reorder the terms: 31 + -6 + 3y = 10y + -10 + -2y Combine like terms: 31 + -6 = 25 25 + 3y = 10y + -10 + -2y Reorder the terms: 25 + 3y = -10 + 10y + -2y Combine like terms: 10y + -2y = 8y 25 + 3y = -10 + 8y Solving 25 + 3y = -10 + 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. 25 + 3y + -8y = -10 + 8y + -8y Combine like terms: 3y + -8y = -5y 25 + -5y = -10 + 8y + -8y Combine like terms: 8y + -8y = 0 25 + -5y = -10 + 0 25 + -5y = -10 Add '-25' to each side of the equation. 25 + -25 + -5y = -10 + -25 Combine like terms: 25 + -25 = 0 0 + -5y = -10 + -25 -5y = -10 + -25 Combine like terms: -10 + -25 = -35 -5y = -35 Divide each side by '-5'. y = 7 Simplifying y = 7
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