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Simplifying 0.04(y + -4) + 0.08y = 0.16y + -0.5 Reorder the terms: 0.04(-4 + y) + 0.08y = 0.16y + -0.5 (-4 * 0.04 + y * 0.04) + 0.08y = 0.16y + -0.5 (-0.16 + 0.04y) + 0.08y = 0.16y + -0.5 Combine like terms: 0.04y + 0.08y = 0.12y -0.16 + 0.12y = 0.16y + -0.5 Reorder the terms: -0.16 + 0.12y = -0.5 + 0.16y Solving -0.16 + 0.12y = -0.5 + 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 + 0.12y + -0.16y = -0.5 + 0.16y + -0.16y Combine like terms: 0.12y + -0.16y = -0.04y -0.16 + -0.04y = -0.5 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.16 + -0.04y = -0.5 + 0.00 -0.16 + -0.04y = -0.5 Add '0.16' to each side of the equation. -0.16 + 0.16 + -0.04y = -0.5 + 0.16 Combine like terms: -0.16 + 0.16 = 0.00 0.00 + -0.04y = -0.5 + 0.16 -0.04y = -0.5 + 0.16 Combine like terms: -0.5 + 0.16 = -0.34 -0.04y = -0.34 Divide each side by '-0.04'. y = 8.5 Simplifying y = 8.5
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