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Simplifying -0.02y + 0.15(700 + -1y) = 0.08y -0.02y + (700 * 0.15 + -1y * 0.15) = 0.08y -0.02y + (105 + -0.15y) = 0.08y Reorder the terms: 105 + -0.02y + -0.15y = 0.08y Combine like terms: -0.02y + -0.15y = -0.17y 105 + -0.17y = 0.08y Solving 105 + -0.17y = 0.08y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.08y' to each side of the equation. 105 + -0.17y + -0.08y = 0.08y + -0.08y Combine like terms: -0.17y + -0.08y = -0.25y 105 + -0.25y = 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 105 + -0.25y = 0.00 Add '-105' to each side of the equation. 105 + -105 + -0.25y = 0.00 + -105 Combine like terms: 105 + -105 = 0 0 + -0.25y = 0.00 + -105 -0.25y = 0.00 + -105 Combine like terms: 0.00 + -105 = -105 -0.25y = -105 Divide each side by '-0.25'. y = 420 Simplifying y = 420
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