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Simplifying 0.52y + 2.5 + 5.1 = 4y + 0.24 + 15.76 Reorder the terms: 2.5 + 5.1 + 0.52y = 4y + 0.24 + 15.76 Combine like terms: 2.5 + 5.1 = 7.6 7.6 + 0.52y = 4y + 0.24 + 15.76 Reorder the terms: 7.6 + 0.52y = 0.24 + 15.76 + 4y Combine like terms: 0.24 + 15.76 = 16 7.6 + 0.52y = 16 + 4y Solving 7.6 + 0.52y = 16 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 7.6 + 0.52y + -4y = 16 + 4y + -4y Combine like terms: 0.52y + -4y = -3.48y 7.6 + -3.48y = 16 + 4y + -4y Combine like terms: 4y + -4y = 0 7.6 + -3.48y = 16 + 0 7.6 + -3.48y = 16 Add '-7.6' to each side of the equation. 7.6 + -7.6 + -3.48y = 16 + -7.6 Combine like terms: 7.6 + -7.6 = 0.0 0.0 + -3.48y = 16 + -7.6 -3.48y = 16 + -7.6 Combine like terms: 16 + -7.6 = 8.4 -3.48y = 8.4 Divide each side by '-3.48'. y = -2.413793103 Simplifying y = -2.413793103
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