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Simplifying 0.1y + 3.8 = 5.27 + -0.3y Reorder the terms: 3.8 + 0.1y = 5.27 + -0.3y Solving 3.8 + 0.1y = 5.27 + -0.3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.3y' to each side of the equation. 3.8 + 0.1y + 0.3y = 5.27 + -0.3y + 0.3y Combine like terms: 0.1y + 0.3y = 0.4y 3.8 + 0.4y = 5.27 + -0.3y + 0.3y Combine like terms: -0.3y + 0.3y = 0.0 3.8 + 0.4y = 5.27 + 0.0 3.8 + 0.4y = 5.27 Add '-3.8' to each side of the equation. 3.8 + -3.8 + 0.4y = 5.27 + -3.8 Combine like terms: 3.8 + -3.8 = 0.0 0.0 + 0.4y = 5.27 + -3.8 0.4y = 5.27 + -3.8 Combine like terms: 5.27 + -3.8 = 1.47 0.4y = 1.47 Divide each side by '0.4'. y = 3.675 Simplifying y = 3.675
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