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Simplifying 0.02(y + -8) + 0.06y = 0.04y + -0.04 Reorder the terms: 0.02(-8 + y) + 0.06y = 0.04y + -0.04 (-8 * 0.02 + y * 0.02) + 0.06y = 0.04y + -0.04 (-0.16 + 0.02y) + 0.06y = 0.04y + -0.04 Combine like terms: 0.02y + 0.06y = 0.08y -0.16 + 0.08y = 0.04y + -0.04 Reorder the terms: -0.16 + 0.08y = -0.04 + 0.04y Solving -0.16 + 0.08y = -0.04 + 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. -0.16 + 0.08y + -0.04y = -0.04 + 0.04y + -0.04y Combine like terms: 0.08y + -0.04y = 0.04y -0.16 + 0.04y = -0.04 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.16 + 0.04y = -0.04 + 0.00 -0.16 + 0.04y = -0.04 Add '0.16' to each side of the equation. -0.16 + 0.16 + 0.04y = -0.04 + 0.16 Combine like terms: -0.16 + 0.16 = 0.00 0.00 + 0.04y = -0.04 + 0.16 0.04y = -0.04 + 0.16 Combine like terms: -0.04 + 0.16 = 0.12 0.04y = 0.12 Divide each side by '0.04'. y = 3 Simplifying y = 3
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