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Simplifying y = 100 + 6(y + -0.1y) + 200 + 400 + 0.5y + (300 + 0.2y) Combine like terms: y + -0.1y = 0.9y y = 100 + 6(0.9y) + 200 + 400 + 0.5y + (300 + 0.2y) Remove parenthesis around (0.9y) y = 100 + 6 * 0.9y + 200 + 400 + 0.5y + (300 + 0.2y) Multiply 6 * 0.9 y = 100 + 5.4y + 200 + 400 + 0.5y + (300 + 0.2y) Remove parenthesis around (300 + 0.2y) y = 100 + 5.4y + 200 + 400 + 0.5y + 300 + 0.2y Reorder the terms: y = 100 + 200 + 400 + 300 + 5.4y + 0.5y + 0.2y Combine like terms: 100 + 200 = 300 y = 300 + 400 + 300 + 5.4y + 0.5y + 0.2y Combine like terms: 300 + 400 = 700 y = 700 + 300 + 5.4y + 0.5y + 0.2y Combine like terms: 700 + 300 = 1000 y = 1000 + 5.4y + 0.5y + 0.2y Combine like terms: 5.4y + 0.5y = 5.9y y = 1000 + 5.9y + 0.2y Combine like terms: 5.9y + 0.2y = 6.1y y = 1000 + 6.1y Solving y = 1000 + 6.1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6.1y' to each side of the equation. y + -6.1y = 1000 + 6.1y + -6.1y Combine like terms: y + -6.1y = -5.1y -5.1y = 1000 + 6.1y + -6.1y Combine like terms: 6.1y + -6.1y = 0.0 -5.1y = 1000 + 0.0 -5.1y = 1000 Divide each side by '-5.1'. y = -196.0784314 Simplifying y = -196.0784314
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