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Simplifying 0.4(y + 3) + -0.5 = 0.33(y + -2) + 0.5 Reorder the terms: 0.4(3 + y) + -0.5 = 0.33(y + -2) + 0.5 (3 * 0.4 + y * 0.4) + -0.5 = 0.33(y + -2) + 0.5 (1.2 + 0.4y) + -0.5 = 0.33(y + -2) + 0.5 Reorder the terms: 1.2 + -0.5 + 0.4y = 0.33(y + -2) + 0.5 Combine like terms: 1.2 + -0.5 = 0.7 0.7 + 0.4y = 0.33(y + -2) + 0.5 Reorder the terms: 0.7 + 0.4y = 0.33(-2 + y) + 0.5 0.7 + 0.4y = (-2 * 0.33 + y * 0.33) + 0.5 0.7 + 0.4y = (-0.66 + 0.33y) + 0.5 Reorder the terms: 0.7 + 0.4y = -0.66 + 0.5 + 0.33y Combine like terms: -0.66 + 0.5 = -0.16 0.7 + 0.4y = -0.16 + 0.33y Solving 0.7 + 0.4y = -0.16 + 0.33y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.33y' to each side of the equation. 0.7 + 0.4y + -0.33y = -0.16 + 0.33y + -0.33y Combine like terms: 0.4y + -0.33y = 0.07y 0.7 + 0.07y = -0.16 + 0.33y + -0.33y Combine like terms: 0.33y + -0.33y = 0.00 0.7 + 0.07y = -0.16 + 0.00 0.7 + 0.07y = -0.16 Add '-0.7' to each side of the equation. 0.7 + -0.7 + 0.07y = -0.16 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 0.07y = -0.16 + -0.7 0.07y = -0.16 + -0.7 Combine like terms: -0.16 + -0.7 = -0.86 0.07y = -0.86 Divide each side by '0.07'. y = -12.28571429 Simplifying y = -12.28571429
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