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Simplifying 0.19(10000) + -0.05y = 0.05(y + 10000) Multiply 0.19 * 10000 1900 + -0.05y = 0.05(y + 10000) Reorder the terms: 1900 + -0.05y = 0.05(10000 + y) 1900 + -0.05y = (10000 * 0.05 + y * 0.05) 1900 + -0.05y = (500 + 0.05y) Solving 1900 + -0.05y = 500 + 0.05y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.05y' to each side of the equation. 1900 + -0.05y + -0.05y = 500 + 0.05y + -0.05y Combine like terms: -0.05y + -0.05y = -0.1y 1900 + -0.1y = 500 + 0.05y + -0.05y Combine like terms: 0.05y + -0.05y = 0.00 1900 + -0.1y = 500 + 0.00 1900 + -0.1y = 500 Add '-1900' to each side of the equation. 1900 + -1900 + -0.1y = 500 + -1900 Combine like terms: 1900 + -1900 = 0 0 + -0.1y = 500 + -1900 -0.1y = 500 + -1900 Combine like terms: 500 + -1900 = -1400 -0.1y = -1400 Divide each side by '-0.1'. y = 14000 Simplifying y = 14000
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