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Simplifying 0.04(y + -6) + 0.08 = 0.16y + -0.2 Reorder the terms: 0.04(-6 + y) + 0.08 = 0.16y + -0.2 (-6 * 0.04 + y * 0.04) + 0.08 = 0.16y + -0.2 (-0.24 + 0.04y) + 0.08 = 0.16y + -0.2 Reorder the terms: -0.24 + 0.08 + 0.04y = 0.16y + -0.2 Combine like terms: -0.24 + 0.08 = -0.16 -0.16 + 0.04y = 0.16y + -0.2 Reorder the terms: -0.16 + 0.04y = -0.2 + 0.16y Solving -0.16 + 0.04y = -0.2 + 0.16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.16y' to each side of the equation. -0.16 + 0.04y + -0.16y = -0.2 + 0.16y + -0.16y Combine like terms: 0.04y + -0.16y = -0.12y -0.16 + -0.12y = -0.2 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.16 + -0.12y = -0.2 + 0.00 -0.16 + -0.12y = -0.2 Add '0.16' to each side of the equation. -0.16 + 0.16 + -0.12y = -0.2 + 0.16 Combine like terms: -0.16 + 0.16 = 0.00 0.00 + -0.12y = -0.2 + 0.16 -0.12y = -0.2 + 0.16 Combine like terms: -0.2 + 0.16 = -0.04 -0.12y = -0.04 Divide each side by '-0.12'. y = 0.3333333333 Simplifying y = 0.3333333333
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