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Simplifying 0.020y + -0.4 = 0.10y + 1 + -0.06y Reorder the terms: -0.4 + 0.020y = 0.10y + 1 + -0.06y Reorder the terms: -0.4 + 0.020y = 1 + 0.10y + -0.06y Combine like terms: 0.10y + -0.06y = 0.04y -0.4 + 0.020y = 1 + 0.04y Solving -0.4 + 0.020y = 1 + 0.04y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.04y' to each side of the equation. -0.4 + 0.020y + -0.04y = 1 + 0.04y + -0.04y Combine like terms: 0.020y + -0.04y = -0.02y -0.4 + -0.02y = 1 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.4 + -0.02y = 1 + 0.00 -0.4 + -0.02y = 1 Add '0.4' to each side of the equation. -0.4 + 0.4 + -0.02y = 1 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + -0.02y = 1 + 0.4 -0.02y = 1 + 0.4 Combine like terms: 1 + 0.4 = 1.4 -0.02y = 1.4 Divide each side by '-0.02'. y = -70 Simplifying y = -70
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