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Simplifying 13y + 19.5 = -17.24 + 8.3y + -10.73 Reorder the terms: 19.5 + 13y = -17.24 + 8.3y + -10.73 Reorder the terms: 19.5 + 13y = -17.24 + -10.73 + 8.3y Combine like terms: -17.24 + -10.73 = -27.97 19.5 + 13y = -27.97 + 8.3y Solving 19.5 + 13y = -27.97 + 8.3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8.3y' to each side of the equation. 19.5 + 13y + -8.3y = -27.97 + 8.3y + -8.3y Combine like terms: 13y + -8.3y = 4.7y 19.5 + 4.7y = -27.97 + 8.3y + -8.3y Combine like terms: 8.3y + -8.3y = 0.0 19.5 + 4.7y = -27.97 + 0.0 19.5 + 4.7y = -27.97 Add '-19.5' to each side of the equation. 19.5 + -19.5 + 4.7y = -27.97 + -19.5 Combine like terms: 19.5 + -19.5 = 0.0 0.0 + 4.7y = -27.97 + -19.5 4.7y = -27.97 + -19.5 Combine like terms: -27.97 + -19.5 = -47.47 4.7y = -47.47 Divide each side by '4.7'. y = -10.1 Simplifying y = -10.1
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