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Simplifying -29 + -10y + 12 = 24y + 46 + 5y Reorder the terms: -29 + 12 + -10y = 24y + 46 + 5y Combine like terms: -29 + 12 = -17 -17 + -10y = 24y + 46 + 5y Reorder the terms: -17 + -10y = 46 + 24y + 5y Combine like terms: 24y + 5y = 29y -17 + -10y = 46 + 29y Solving -17 + -10y = 46 + 29y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-29y' to each side of the equation. -17 + -10y + -29y = 46 + 29y + -29y Combine like terms: -10y + -29y = -39y -17 + -39y = 46 + 29y + -29y Combine like terms: 29y + -29y = 0 -17 + -39y = 46 + 0 -17 + -39y = 46 Add '17' to each side of the equation. -17 + 17 + -39y = 46 + 17 Combine like terms: -17 + 17 = 0 0 + -39y = 46 + 17 -39y = 46 + 17 Combine like terms: 46 + 17 = 63 -39y = 63 Divide each side by '-39'. y = -1.615384615 Simplifying y = -1.615384615
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