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Simplifying 40(15 + 0.025Y) + 10y = 600 (15 * 40 + 0.025Y * 40) + 10y = 600 (600 + 1Y) + 10y = 600 Add '-600' to each side of the equation. 600 + 1Y + -600 + 10y = 600 + -600 Reorder the terms: 600 + -600 + 1Y + 10y = 600 + -600 Combine like terms: 600 + -600 = 0 0 + 1Y + 10y = 600 + -600 1Y + 10y = 600 + -600 Combine like terms: 600 + -600 = 0 1Y + 10y = 0 Solving 1Y + 10y = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-10y' to each side of the equation. 1Y + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 1Y + 0 = 0 + -10y 1Y = 0 + -10y Remove the zero: 1Y = -10y Divide each side by '1'. Y = -10y Simplifying Y = -10y
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