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Simplifying 0.25y + 40 = 0.45y + 25 Reorder the terms: 40 + 0.25y = 0.45y + 25 Reorder the terms: 40 + 0.25y = 25 + 0.45y Solving 40 + 0.25y = 25 + 0.45y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.45y' to each side of the equation. 40 + 0.25y + -0.45y = 25 + 0.45y + -0.45y Combine like terms: 0.25y + -0.45y = -0.2y 40 + -0.2y = 25 + 0.45y + -0.45y Combine like terms: 0.45y + -0.45y = 0.00 40 + -0.2y = 25 + 0.00 40 + -0.2y = 25 Add '-40' to each side of the equation. 40 + -40 + -0.2y = 25 + -40 Combine like terms: 40 + -40 = 0 0 + -0.2y = 25 + -40 -0.2y = 25 + -40 Combine like terms: 25 + -40 = -15 -0.2y = -15 Divide each side by '-0.2'. y = 75 Simplifying y = 75
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