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Simplifying y + 0.8 = 0.4(y + 5) Reorder the terms: 0.8 + y = 0.4(y + 5) Reorder the terms: 0.8 + y = 0.4(5 + y) 0.8 + y = (5 * 0.4 + y * 0.4) 0.8 + y = (2 + 0.4y) Solving 0.8 + y = 2 + 0.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.4y' to each side of the equation. 0.8 + y + -0.4y = 2 + 0.4y + -0.4y Combine like terms: y + -0.4y = 0.6y 0.8 + 0.6y = 2 + 0.4y + -0.4y Combine like terms: 0.4y + -0.4y = 0.0 0.8 + 0.6y = 2 + 0.0 0.8 + 0.6y = 2 Add '-0.8' to each side of the equation. 0.8 + -0.8 + 0.6y = 2 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.6y = 2 + -0.8 0.6y = 2 + -0.8 Combine like terms: 2 + -0.8 = 1.2 0.6y = 1.2 Divide each side by '0.6'. y = 2 Simplifying y = 2
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