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Simplifying 0.08(y + -2) + 0.04y = 0.02y + -0.01(40) Reorder the terms: 0.08(-2 + y) + 0.04y = 0.02y + -0.01(40) (-2 * 0.08 + y * 0.08) + 0.04y = 0.02y + -0.01(40) (-0.16 + 0.08y) + 0.04y = 0.02y + -0.01(40) Combine like terms: 0.08y + 0.04y = 0.12y -0.16 + 0.12y = 0.02y + -0.01(40) Multiply -0.01 * 40 -0.16 + 0.12y = 0.02y + -0.4 Reorder the terms: -0.16 + 0.12y = -0.4 + 0.02y Solving -0.16 + 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. -0.16 + 0.12y + -0.02y = -0.4 + 0.02y + -0.02y Combine like terms: 0.12y + -0.02y = 0.1y -0.16 + 0.1y = -0.4 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.16 + 0.1y = -0.4 + 0.00 -0.16 + 0.1y = -0.4 Add '0.16' to each side of the equation. -0.16 + 0.16 + 0.1y = -0.4 + 0.16 Combine like terms: -0.16 + 0.16 = 0.00 0.00 + 0.1y = -0.4 + 0.16 0.1y = -0.4 + 0.16 Combine like terms: -0.4 + 0.16 = -0.24 0.1y = -0.24 Divide each side by '0.1'. y = -2.4 Simplifying y = -2.4
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