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Simplifying 0.25(2y + 3) = 3(0.33 + -1y) Reorder the terms: 0.25(3 + 2y) = 3(0.33 + -1y) (3 * 0.25 + 2y * 0.25) = 3(0.33 + -1y) (0.75 + 0.5y) = 3(0.33 + -1y) 0.75 + 0.5y = (0.33 * 3 + -1y * 3) 0.75 + 0.5y = (0.99 + -3y) Solving 0.75 + 0.5y = 0.99 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 0.75 + 0.5y + 3y = 0.99 + -3y + 3y Combine like terms: 0.5y + 3y = 3.5y 0.75 + 3.5y = 0.99 + -3y + 3y Combine like terms: -3y + 3y = 0 0.75 + 3.5y = 0.99 + 0 0.75 + 3.5y = 0.99 Add '-0.75' to each side of the equation. 0.75 + -0.75 + 3.5y = 0.99 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 3.5y = 0.99 + -0.75 3.5y = 0.99 + -0.75 Combine like terms: 0.99 + -0.75 = 0.24 3.5y = 0.24 Divide each side by '3.5'. y = 0.06857142857 Simplifying y = 0.06857142857
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