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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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