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Simplifying 0.01y + 0.013(1100 + -1y) = 0.38y 0.01y + (1100 * 0.013 + -1y * 0.013) = 0.38y 0.01y + (14.3 + -0.013y) = 0.38y Reorder the terms: 14.3 + 0.01y + -0.013y = 0.38y Combine like terms: 0.01y + -0.013y = -0.003y 14.3 + -0.003y = 0.38y Solving 14.3 + -0.003y = 0.38y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.38y' to each side of the equation. 14.3 + -0.003y + -0.38y = 0.38y + -0.38y Combine like terms: -0.003y + -0.38y = -0.383y 14.3 + -0.383y = 0.38y + -0.38y Combine like terms: 0.38y + -0.38y = 0.00 14.3 + -0.383y = 0.00 Add '-14.3' to each side of the equation. 14.3 + -14.3 + -0.383y = 0.00 + -14.3 Combine like terms: 14.3 + -14.3 = 0.0 0.0 + -0.383y = 0.00 + -14.3 -0.383y = 0.00 + -14.3 Combine like terms: 0.00 + -14.3 = -14.3 -0.383y = -14.3 Divide each side by '-0.383'. y = 37.33681462 Simplifying y = 37.33681462
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