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Simplifying 4.2y + 0.8 = 0.4 + 5.1y Reorder the terms: 0.8 + 4.2y = 0.4 + 5.1y Solving 0.8 + 4.2y = 0.4 + 5.1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5.1y' to each side of the equation. 0.8 + 4.2y + -5.1y = 0.4 + 5.1y + -5.1y Combine like terms: 4.2y + -5.1y = -0.9y 0.8 + -0.9y = 0.4 + 5.1y + -5.1y Combine like terms: 5.1y + -5.1y = 0.0 0.8 + -0.9y = 0.4 + 0.0 0.8 + -0.9y = 0.4 Add '-0.8' to each side of the equation. 0.8 + -0.8 + -0.9y = 0.4 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -0.9y = 0.4 + -0.8 -0.9y = 0.4 + -0.8 Combine like terms: 0.4 + -0.8 = -0.4 -0.9y = -0.4 Divide each side by '-0.9'. y = 0.4444444444 Simplifying y = 0.4444444444
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