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Simplifying 0.08(y + -2) + 0.16y = 0.20y + -0.05(10) Reorder the terms: 0.08(-2 + y) + 0.16y = 0.20y + -0.05(10) (-2 * 0.08 + y * 0.08) + 0.16y = 0.20y + -0.05(10) (-0.16 + 0.08y) + 0.16y = 0.20y + -0.05(10) Combine like terms: 0.08y + 0.16y = 0.24y -0.16 + 0.24y = 0.20y + -0.05(10) Multiply -0.05 * 10 -0.16 + 0.24y = 0.20y + -0.5 Reorder the terms: -0.16 + 0.24y = -0.5 + 0.20y Solving -0.16 + 0.24y = -0.5 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -0.16 + 0.24y + -0.20y = -0.5 + 0.20y + -0.20y Combine like terms: 0.24y + -0.20y = 0.04y -0.16 + 0.04y = -0.5 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.16 + 0.04y = -0.5 + 0.00 -0.16 + 0.04y = -0.5 Add '0.16' to each side of the equation. -0.16 + 0.16 + 0.04y = -0.5 + 0.16 Combine like terms: -0.16 + 0.16 = 0.00 0.00 + 0.04y = -0.5 + 0.16 0.04y = -0.5 + 0.16 Combine like terms: -0.5 + 0.16 = -0.34 0.04y = -0.34 Divide each side by '0.04'. y = -8.5 Simplifying y = -8.5
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