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Simplifying -0.04y + 0.08(800 + -1y) = 0.38y -0.04y + (800 * 0.08 + -1y * 0.08) = 0.38y -0.04y + (64 + -0.08y) = 0.38y Reorder the terms: 64 + -0.04y + -0.08y = 0.38y Combine like terms: -0.04y + -0.08y = -0.12y 64 + -0.12y = 0.38y Solving 64 + -0.12y = 0.38y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.38y' to each side of the equation. 64 + -0.12y + -0.38y = 0.38y + -0.38y Combine like terms: -0.12y + -0.38y = -0.5y 64 + -0.5y = 0.38y + -0.38y Combine like terms: 0.38y + -0.38y = 0.00 64 + -0.5y = 0.00 Add '-64' to each side of the equation. 64 + -64 + -0.5y = 0.00 + -64 Combine like terms: 64 + -64 = 0 0 + -0.5y = 0.00 + -64 -0.5y = 0.00 + -64 Combine like terms: 0.00 + -64 = -64 -0.5y = -64 Divide each side by '-0.5'. y = 128 Simplifying y = 128
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