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Simplifying 0.33(y + 4) + 6 = 0.25(3y + -1) + -2 Reorder the terms: 0.33(4 + y) + 6 = 0.25(3y + -1) + -2 (4 * 0.33 + y * 0.33) + 6 = 0.25(3y + -1) + -2 (1.32 + 0.33y) + 6 = 0.25(3y + -1) + -2 Reorder the terms: 1.32 + 6 + 0.33y = 0.25(3y + -1) + -2 Combine like terms: 1.32 + 6 = 7.32 7.32 + 0.33y = 0.25(3y + -1) + -2 Reorder the terms: 7.32 + 0.33y = 0.25(-1 + 3y) + -2 7.32 + 0.33y = (-1 * 0.25 + 3y * 0.25) + -2 7.32 + 0.33y = (-0.25 + 0.75y) + -2 Reorder the terms: 7.32 + 0.33y = -0.25 + -2 + 0.75y Combine like terms: -0.25 + -2 = -2.25 7.32 + 0.33y = -2.25 + 0.75y Solving 7.32 + 0.33y = -2.25 + 0.75y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.75y' to each side of the equation. 7.32 + 0.33y + -0.75y = -2.25 + 0.75y + -0.75y Combine like terms: 0.33y + -0.75y = -0.42y 7.32 + -0.42y = -2.25 + 0.75y + -0.75y Combine like terms: 0.75y + -0.75y = 0.00 7.32 + -0.42y = -2.25 + 0.00 7.32 + -0.42y = -2.25 Add '-7.32' to each side of the equation. 7.32 + -7.32 + -0.42y = -2.25 + -7.32 Combine like terms: 7.32 + -7.32 = 0.00 0.00 + -0.42y = -2.25 + -7.32 -0.42y = -2.25 + -7.32 Combine like terms: -2.25 + -7.32 = -9.57 -0.42y = -9.57 Divide each side by '-0.42'. y = 22.78571429 Simplifying y = 22.78571429
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