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Simplifying 0.08(y + -3) + 20 = 0.12y + -0.4 Reorder the terms: 0.08(-3 + y) + 20 = 0.12y + -0.4 (-3 * 0.08 + y * 0.08) + 20 = 0.12y + -0.4 (-0.24 + 0.08y) + 20 = 0.12y + -0.4 Reorder the terms: -0.24 + 20 + 0.08y = 0.12y + -0.4 Combine like terms: -0.24 + 20 = 19.76 19.76 + 0.08y = 0.12y + -0.4 Reorder the terms: 19.76 + 0.08y = -0.4 + 0.12y Solving 19.76 + 0.08y = -0.4 + 0.12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.12y' to each side of the equation. 19.76 + 0.08y + -0.12y = -0.4 + 0.12y + -0.12y Combine like terms: 0.08y + -0.12y = -0.04y 19.76 + -0.04y = -0.4 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 19.76 + -0.04y = -0.4 + 0.00 19.76 + -0.04y = -0.4 Add '-19.76' to each side of the equation. 19.76 + -19.76 + -0.04y = -0.4 + -19.76 Combine like terms: 19.76 + -19.76 = 0.00 0.00 + -0.04y = -0.4 + -19.76 -0.04y = -0.4 + -19.76 Combine like terms: -0.4 + -19.76 = -20.16 -0.04y = -20.16 Divide each side by '-0.04'. y = 504 Simplifying y = 504
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