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Simplifying 0.04(y + -8) + 0.12y = 0.08y + -0.5 Reorder the terms: 0.04(-8 + y) + 0.12y = 0.08y + -0.5 (-8 * 0.04 + y * 0.04) + 0.12y = 0.08y + -0.5 (-0.32 + 0.04y) + 0.12y = 0.08y + -0.5 Combine like terms: 0.04y + 0.12y = 0.16y -0.32 + 0.16y = 0.08y + -0.5 Reorder the terms: -0.32 + 0.16y = -0.5 + 0.08y Solving -0.32 + 0.16y = -0.5 + 0.08y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.08y' to each side of the equation. -0.32 + 0.16y + -0.08y = -0.5 + 0.08y + -0.08y Combine like terms: 0.16y + -0.08y = 0.08y -0.32 + 0.08y = -0.5 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.32 + 0.08y = -0.5 + 0.00 -0.32 + 0.08y = -0.5 Add '0.32' to each side of the equation. -0.32 + 0.32 + 0.08y = -0.5 + 0.32 Combine like terms: -0.32 + 0.32 = 0.00 0.00 + 0.08y = -0.5 + 0.32 0.08y = -0.5 + 0.32 Combine like terms: -0.5 + 0.32 = -0.18 0.08y = -0.18 Divide each side by '0.08'. y = -2.25 Simplifying y = -2.25
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