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Simplifying 0.4y + 0.33 = 0.2y + 1.42 Reorder the terms: 0.33 + 0.4y = 0.2y + 1.42 Reorder the terms: 0.33 + 0.4y = 1.42 + 0.2y Solving 0.33 + 0.4y = 1.42 + 0.2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.2y' to each side of the equation. 0.33 + 0.4y + -0.2y = 1.42 + 0.2y + -0.2y Combine like terms: 0.4y + -0.2y = 0.2y 0.33 + 0.2y = 1.42 + 0.2y + -0.2y Combine like terms: 0.2y + -0.2y = 0.0 0.33 + 0.2y = 1.42 + 0.0 0.33 + 0.2y = 1.42 Add '-0.33' to each side of the equation. 0.33 + -0.33 + 0.2y = 1.42 + -0.33 Combine like terms: 0.33 + -0.33 = 0.00 0.00 + 0.2y = 1.42 + -0.33 0.2y = 1.42 + -0.33 Combine like terms: 1.42 + -0.33 = 1.09 0.2y = 1.09 Divide each side by '0.2'. y = 5.45 Simplifying y = 5.45
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