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Simplifying 0.75(20y + -8) + 5 = 0.50y + 0.25(20y + 8) Reorder the terms: 0.75(-8 + 20y) + 5 = 0.50y + 0.25(20y + 8) (-8 * 0.75 + 20y * 0.75) + 5 = 0.50y + 0.25(20y + 8) (-6 + 15y) + 5 = 0.50y + 0.25(20y + 8) Reorder the terms: -6 + 5 + 15y = 0.50y + 0.25(20y + 8) Combine like terms: -6 + 5 = -1 -1 + 15y = 0.50y + 0.25(20y + 8) Reorder the terms: -1 + 15y = 0.50y + 0.25(8 + 20y) -1 + 15y = 0.50y + (8 * 0.25 + 20y * 0.25) -1 + 15y = 0.50y + (2 + 5y) Reorder the terms: -1 + 15y = 2 + 0.50y + 5y Combine like terms: 0.50y + 5y = 5.5y -1 + 15y = 2 + 5.5y Solving -1 + 15y = 2 + 5.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5.5y' to each side of the equation. -1 + 15y + -5.5y = 2 + 5.5y + -5.5y Combine like terms: 15y + -5.5y = 9.5y -1 + 9.5y = 2 + 5.5y + -5.5y Combine like terms: 5.5y + -5.5y = 0.0 -1 + 9.5y = 2 + 0.0 -1 + 9.5y = 2 Add '1' to each side of the equation. -1 + 1 + 9.5y = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 9.5y = 2 + 1 9.5y = 2 + 1 Combine like terms: 2 + 1 = 3 9.5y = 3 Divide each side by '9.5'. y = 0.3157894737 Simplifying y = 0.3157894737
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