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Simplifying 11.6y + 3 = 3.8y + 38.10 Reorder the terms: 3 + 11.6y = 3.8y + 38.10 Reorder the terms: 3 + 11.6y = 38.10 + 3.8y Solving 3 + 11.6y = 38.10 + 3.8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3.8y' to each side of the equation. 3 + 11.6y + -3.8y = 38.10 + 3.8y + -3.8y Combine like terms: 11.6y + -3.8y = 7.8y 3 + 7.8y = 38.10 + 3.8y + -3.8y Combine like terms: 3.8y + -3.8y = 0.0 3 + 7.8y = 38.10 + 0.0 3 + 7.8y = 38.10 Add '-3' to each side of the equation. 3 + -3 + 7.8y = 38.10 + -3 Combine like terms: 3 + -3 = 0 0 + 7.8y = 38.10 + -3 7.8y = 38.10 + -3 Combine like terms: 38.10 + -3 = 35.1 7.8y = 35.1 Divide each side by '7.8'. y = 4.5 Simplifying y = 4.5
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