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Simplifying 5y + -14 = -10y + 31 Reorder the terms: -14 + 5y = -10y + 31 Reorder the terms: -14 + 5y = 31 + -10y Solving -14 + 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. -14 + 5y + 10y = 31 + -10y + 10y Combine like terms: 5y + 10y = 15y -14 + 15y = 31 + -10y + 10y Combine like terms: -10y + 10y = 0 -14 + 15y = 31 + 0 -14 + 15y = 31 Add '14' to each side of the equation. -14 + 14 + 15y = 31 + 14 Combine like terms: -14 + 14 = 0 0 + 15y = 31 + 14 15y = 31 + 14 Combine like terms: 31 + 14 = 45 15y = 45 Divide each side by '15'. y = 3 Simplifying y = 3
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