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Simplifying 5y + 9 = 10y + -31 Reorder the terms: 9 + 5y = 10y + -31 Reorder the terms: 9 + 5y = -31 + 10y Solving 9 + 5y = -31 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 9 + 5y + -10y = -31 + 10y + -10y Combine like terms: 5y + -10y = -5y 9 + -5y = -31 + 10y + -10y Combine like terms: 10y + -10y = 0 9 + -5y = -31 + 0 9 + -5y = -31 Add '-9' to each side of the equation. 9 + -9 + -5y = -31 + -9 Combine like terms: 9 + -9 = 0 0 + -5y = -31 + -9 -5y = -31 + -9 Combine like terms: -31 + -9 = -40 -5y = -40 Divide each side by '-5'. y = 8 Simplifying y = 8
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