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Simplifying 0.4y + 0.8(4) = 0.5(5y + 4) Multiply 0.8 * 4 0.4y + 3.2 = 0.5(5y + 4) Reorder the terms: 3.2 + 0.4y = 0.5(5y + 4) Reorder the terms: 3.2 + 0.4y = 0.5(4 + 5y) 3.2 + 0.4y = (4 * 0.5 + 5y * 0.5) 3.2 + 0.4y = (2 + 2.5y) Solving 3.2 + 0.4y = 2 + 2.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2.5y' to each side of the equation. 3.2 + 0.4y + -2.5y = 2 + 2.5y + -2.5y Combine like terms: 0.4y + -2.5y = -2.1y 3.2 + -2.1y = 2 + 2.5y + -2.5y Combine like terms: 2.5y + -2.5y = 0.0 3.2 + -2.1y = 2 + 0.0 3.2 + -2.1y = 2 Add '-3.2' to each side of the equation. 3.2 + -3.2 + -2.1y = 2 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + -2.1y = 2 + -3.2 -2.1y = 2 + -3.2 Combine like terms: 2 + -3.2 = -1.2 -2.1y = -1.2 Divide each side by '-2.1'. y = 0.5714285714 Simplifying y = 0.5714285714
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