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Simplifying 0.020y + -0.4 = 0.10y + 1 + -0.6 Reorder the terms: -0.4 + 0.020y = 0.10y + 1 + -0.6 Reorder the terms: -0.4 + 0.020y = 1 + -0.6 + 0.10y Combine like terms: 1 + -0.6 = 0.4 -0.4 + 0.020y = 0.4 + 0.10y Solving -0.4 + 0.020y = 0.4 + 0.10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.10y' to each side of the equation. -0.4 + 0.020y + -0.10y = 0.4 + 0.10y + -0.10y Combine like terms: 0.020y + -0.10y = -0.08y -0.4 + -0.08y = 0.4 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.4 + -0.08y = 0.4 + 0.00 -0.4 + -0.08y = 0.4 Add '0.4' to each side of the equation. -0.4 + 0.4 + -0.08y = 0.4 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + -0.08y = 0.4 + 0.4 -0.08y = 0.4 + 0.4 Combine like terms: 0.4 + 0.4 = 0.8 -0.08y = 0.8 Divide each side by '-0.08'. y = -10 Simplifying y = -10
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