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Simplifying 0.08(y + -6) + 0.16 = 0.04y + -0.6 Reorder the terms: 0.08(-6 + y) + 0.16 = 0.04y + -0.6 (-6 * 0.08 + y * 0.08) + 0.16 = 0.04y + -0.6 (-0.48 + 0.08y) + 0.16 = 0.04y + -0.6 Reorder the terms: -0.48 + 0.16 + 0.08y = 0.04y + -0.6 Combine like terms: -0.48 + 0.16 = -0.32 -0.32 + 0.08y = 0.04y + -0.6 Reorder the terms: -0.32 + 0.08y = -0.6 + 0.04y Solving -0.32 + 0.08y = -0.6 + 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. -0.32 + 0.08y + -0.04y = -0.6 + 0.04y + -0.04y Combine like terms: 0.08y + -0.04y = 0.04y -0.32 + 0.04y = -0.6 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.32 + 0.04y = -0.6 + 0.00 -0.32 + 0.04y = -0.6 Add '0.32' to each side of the equation. -0.32 + 0.32 + 0.04y = -0.6 + 0.32 Combine like terms: -0.32 + 0.32 = 0.00 0.00 + 0.04y = -0.6 + 0.32 0.04y = -0.6 + 0.32 Combine like terms: -0.6 + 0.32 = -0.28 0.04y = -0.28 Divide each side by '0.04'. y = -7 Simplifying y = -7
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