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Simplifying 0.2(0.4y + 0.3) = 0.5(0.3y) + 0.41 Reorder the terms: 0.2(0.3 + 0.4y) = 0.5(0.3y) + 0.41 (0.3 * 0.2 + 0.4y * 0.2) = 0.5(0.3y) + 0.41 (0.06 + 0.08y) = 0.5(0.3y) + 0.41 Remove parenthesis around (0.3y) 0.06 + 0.08y = 0.5 * 0.3y + 0.41 Multiply 0.5 * 0.3 0.06 + 0.08y = 0.15y + 0.41 Reorder the terms: 0.06 + 0.08y = 0.41 + 0.15y Solving 0.06 + 0.08y = 0.41 + 0.15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.15y' to each side of the equation. 0.06 + 0.08y + -0.15y = 0.41 + 0.15y + -0.15y Combine like terms: 0.08y + -0.15y = -0.07y 0.06 + -0.07y = 0.41 + 0.15y + -0.15y Combine like terms: 0.15y + -0.15y = 0.00 0.06 + -0.07y = 0.41 + 0.00 0.06 + -0.07y = 0.41 Add '-0.06' to each side of the equation. 0.06 + -0.06 + -0.07y = 0.41 + -0.06 Combine like terms: 0.06 + -0.06 = 0.00 0.00 + -0.07y = 0.41 + -0.06 -0.07y = 0.41 + -0.06 Combine like terms: 0.41 + -0.06 = 0.35 -0.07y = 0.35 Divide each side by '-0.07'. y = -5 Simplifying y = -5
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