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Simplifying 10(80 + -0.2y) = 5(80 + -0.2y) + 400 (80 * 10 + -0.2y * 10) = 5(80 + -0.2y) + 400 (800 + -2y) = 5(80 + -0.2y) + 400 800 + -2y = (80 * 5 + -0.2y * 5) + 400 800 + -2y = (400 + -1y) + 400 Reorder the terms: 800 + -2y = 400 + 400 + -1y Combine like terms: 400 + 400 = 800 800 + -2y = 800 + -1y Add '-800' to each side of the equation. 800 + -800 + -2y = 800 + -800 + -1y Combine like terms: 800 + -800 = 0 0 + -2y = 800 + -800 + -1y -2y = 800 + -800 + -1y Combine like terms: 800 + -800 = 0 -2y = 0 + -1y -2y = -1y Solving -2y = -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -2y + y = -1y + y Combine like terms: -2y + y = -1y -1y = -1y + y Combine like terms: -1y + y = 0 -1y = 0 Divide each side by '-1'. y = 0 Simplifying y = 0
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