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Simplifying 0.04(y + -8) + 0.02 = 0.10y + -0.3 Reorder the terms: 0.04(-8 + y) + 0.02 = 0.10y + -0.3 (-8 * 0.04 + y * 0.04) + 0.02 = 0.10y + -0.3 (-0.32 + 0.04y) + 0.02 = 0.10y + -0.3 Reorder the terms: -0.32 + 0.02 + 0.04y = 0.10y + -0.3 Combine like terms: -0.32 + 0.02 = -0.3 -0.3 + 0.04y = 0.10y + -0.3 Reorder the terms: -0.3 + 0.04y = -0.3 + 0.10y Add '0.3' to each side of the equation. -0.3 + 0.3 + 0.04y = -0.3 + 0.3 + 0.10y Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 0.04y = -0.3 + 0.3 + 0.10y 0.04y = -0.3 + 0.3 + 0.10y Combine like terms: -0.3 + 0.3 = 0.0 0.04y = 0.0 + 0.10y 0.04y = 0.10y Solving 0.04y = 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. 0.04y + -0.10y = 0.10y + -0.10y Combine like terms: 0.04y + -0.10y = -0.06y -0.06y = 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.06y = 0.00 Divide each side by '-0.06'. y = 0 Simplifying y = 0
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