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Simplifying 0.04(y + -3) + 0.08y = 0.02y + -0.4 Reorder the terms: 0.04(-3 + y) + 0.08y = 0.02y + -0.4 (-3 * 0.04 + y * 0.04) + 0.08y = 0.02y + -0.4 (-0.12 + 0.04y) + 0.08y = 0.02y + -0.4 Combine like terms: 0.04y + 0.08y = 0.12y -0.12 + 0.12y = 0.02y + -0.4 Reorder the terms: -0.12 + 0.12y = -0.4 + 0.02y Solving -0.12 + 0.12y = -0.4 + 0.02y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.02y' to each side of the equation. -0.12 + 0.12y + -0.02y = -0.4 + 0.02y + -0.02y Combine like terms: 0.12y + -0.02y = 0.1y -0.12 + 0.1y = -0.4 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.12 + 0.1y = -0.4 + 0.00 -0.12 + 0.1y = -0.4 Add '0.12' to each side of the equation. -0.12 + 0.12 + 0.1y = -0.4 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + 0.1y = -0.4 + 0.12 0.1y = -0.4 + 0.12 Combine like terms: -0.4 + 0.12 = -0.28 0.1y = -0.28 Divide each side by '0.1'. y = -2.8 Simplifying y = -2.8
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