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Simplifying 45 + 24y + -32 = 7y + 49 + -8 + 3y Reorder the terms: 45 + -32 + 24y = 7y + 49 + -8 + 3y Combine like terms: 45 + -32 = 13 13 + 24y = 7y + 49 + -8 + 3y Reorder the terms: 13 + 24y = 49 + -8 + 7y + 3y Combine like terms: 49 + -8 = 41 13 + 24y = 41 + 7y + 3y Combine like terms: 7y + 3y = 10y 13 + 24y = 41 + 10y Solving 13 + 24y = 41 + 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. 13 + 24y + -10y = 41 + 10y + -10y Combine like terms: 24y + -10y = 14y 13 + 14y = 41 + 10y + -10y Combine like terms: 10y + -10y = 0 13 + 14y = 41 + 0 13 + 14y = 41 Add '-13' to each side of the equation. 13 + -13 + 14y = 41 + -13 Combine like terms: 13 + -13 = 0 0 + 14y = 41 + -13 14y = 41 + -13 Combine like terms: 41 + -13 = 28 14y = 28 Divide each side by '14'. y = 2 Simplifying y = 2
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