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Simplifying -31 + -14y + 17 = 29y + 22 + 9y Reorder the terms: -31 + 17 + -14y = 29y + 22 + 9y Combine like terms: -31 + 17 = -14 -14 + -14y = 29y + 22 + 9y Reorder the terms: -14 + -14y = 22 + 29y + 9y Combine like terms: 29y + 9y = 38y -14 + -14y = 22 + 38y Solving -14 + -14y = 22 + 38y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-38y' to each side of the equation. -14 + -14y + -38y = 22 + 38y + -38y Combine like terms: -14y + -38y = -52y -14 + -52y = 22 + 38y + -38y Combine like terms: 38y + -38y = 0 -14 + -52y = 22 + 0 -14 + -52y = 22 Add '14' to each side of the equation. -14 + 14 + -52y = 22 + 14 Combine like terms: -14 + 14 = 0 0 + -52y = 22 + 14 -52y = 22 + 14 Combine like terms: 22 + 14 = 36 -52y = 36 Divide each side by '-52'. y = -0.6923076923 Simplifying y = -0.6923076923
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