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Simplifying 4(0.5 + -1y) = 4y + -0.2 (0.5 * 4 + -1y * 4) = 4y + -0.2 (2 + -4y) = 4y + -0.2 Reorder the terms: 2 + -4y = -0.2 + 4y Solving 2 + -4y = -0.2 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 2 + -4y + -4y = -0.2 + 4y + -4y Combine like terms: -4y + -4y = -8y 2 + -8y = -0.2 + 4y + -4y Combine like terms: 4y + -4y = 0 2 + -8y = -0.2 + 0 2 + -8y = -0.2 Add '-2' to each side of the equation. 2 + -2 + -8y = -0.2 + -2 Combine like terms: 2 + -2 = 0 0 + -8y = -0.2 + -2 -8y = -0.2 + -2 Combine like terms: -0.2 + -2 = -2.2 -8y = -2.2 Divide each side by '-8'. y = 0.275 Simplifying y = 0.275
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