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Simplifying 0.09y + 0.13(400 + -1y) = 0.21y 0.09y + (400 * 0.13 + -1y * 0.13) = 0.21y 0.09y + (52 + -0.13y) = 0.21y Reorder the terms: 52 + 0.09y + -0.13y = 0.21y Combine like terms: 0.09y + -0.13y = -0.04y 52 + -0.04y = 0.21y Solving 52 + -0.04y = 0.21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.21y' to each side of the equation. 52 + -0.04y + -0.21y = 0.21y + -0.21y Combine like terms: -0.04y + -0.21y = -0.25y 52 + -0.25y = 0.21y + -0.21y Combine like terms: 0.21y + -0.21y = 0.00 52 + -0.25y = 0.00 Add '-52' to each side of the equation. 52 + -52 + -0.25y = 0.00 + -52 Combine like terms: 52 + -52 = 0 0 + -0.25y = 0.00 + -52 -0.25y = 0.00 + -52 Combine like terms: 0.00 + -52 = -52 -0.25y = -52 Divide each side by '-0.25'. y = 208 Simplifying y = 208
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