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Simplifying 6y + -14 = 9y + 31 Reorder the terms: -14 + 6y = 9y + 31 Reorder the terms: -14 + 6y = 31 + 9y Solving -14 + 6y = 31 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -14 + 6y + -9y = 31 + 9y + -9y Combine like terms: 6y + -9y = -3y -14 + -3y = 31 + 9y + -9y Combine like terms: 9y + -9y = 0 -14 + -3y = 31 + 0 -14 + -3y = 31 Add '14' to each side of the equation. -14 + 14 + -3y = 31 + 14 Combine like terms: -14 + 14 = 0 0 + -3y = 31 + 14 -3y = 31 + 14 Combine like terms: 31 + 14 = 45 -3y = 45 Divide each side by '-3'. y = -15 Simplifying y = -15
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