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Simplifying 0.05y + 0.13(6000 + -6y) = 0.07y 0.05y + (6000 * 0.13 + -6y * 0.13) = 0.07y 0.05y + (780 + -0.78y) = 0.07y Reorder the terms: 780 + 0.05y + -0.78y = 0.07y Combine like terms: 0.05y + -0.78y = -0.73y 780 + -0.73y = 0.07y Solving 780 + -0.73y = 0.07y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.07y' to each side of the equation. 780 + -0.73y + -0.07y = 0.07y + -0.07y Combine like terms: -0.73y + -0.07y = -0.8y 780 + -0.8y = 0.07y + -0.07y Combine like terms: 0.07y + -0.07y = 0.00 780 + -0.8y = 0.00 Add '-780' to each side of the equation. 780 + -780 + -0.8y = 0.00 + -780 Combine like terms: 780 + -780 = 0 0 + -0.8y = 0.00 + -780 -0.8y = 0.00 + -780 Combine like terms: 0.00 + -780 = -780 -0.8y = -780 Divide each side by '-0.8'. y = 975 Simplifying y = 975
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