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Simplifying 8(30 + -1y) + 10Y = 400 (30 * 8 + -1y * 8) + 10Y = 400 (240 + -8y) + 10Y = 400 Reorder the terms: 240 + 10Y + -8y = 400 Solving 240 + 10Y + -8y = 400 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-240' to each side of the equation. 240 + 10Y + -240 + -8y = 400 + -240 Reorder the terms: 240 + -240 + 10Y + -8y = 400 + -240 Combine like terms: 240 + -240 = 0 0 + 10Y + -8y = 400 + -240 10Y + -8y = 400 + -240 Combine like terms: 400 + -240 = 160 10Y + -8y = 160 Add '8y' to each side of the equation. 10Y + -8y + 8y = 160 + 8y Combine like terms: -8y + 8y = 0 10Y + 0 = 160 + 8y 10Y = 160 + 8y Divide each side by '10'. Y = 16 + 0.8y Simplifying Y = 16 + 0.8y
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