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Simplifying 0.04(y + -8) + 0.16 = 0.08y + -1.4 Reorder the terms: 0.04(-8 + y) + 0.16 = 0.08y + -1.4 (-8 * 0.04 + y * 0.04) + 0.16 = 0.08y + -1.4 (-0.32 + 0.04y) + 0.16 = 0.08y + -1.4 Reorder the terms: -0.32 + 0.16 + 0.04y = 0.08y + -1.4 Combine like terms: -0.32 + 0.16 = -0.16 -0.16 + 0.04y = 0.08y + -1.4 Reorder the terms: -0.16 + 0.04y = -1.4 + 0.08y Solving -0.16 + 0.04y = -1.4 + 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. -0.16 + 0.04y + -0.08y = -1.4 + 0.08y + -0.08y Combine like terms: 0.04y + -0.08y = -0.04y -0.16 + -0.04y = -1.4 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.16 + -0.04y = -1.4 + 0.00 -0.16 + -0.04y = -1.4 Add '0.16' to each side of the equation. -0.16 + 0.16 + -0.04y = -1.4 + 0.16 Combine like terms: -0.16 + 0.16 = 0.00 0.00 + -0.04y = -1.4 + 0.16 -0.04y = -1.4 + 0.16 Combine like terms: -1.4 + 0.16 = -1.24 -0.04y = -1.24 Divide each side by '-0.04'. y = 31 Simplifying y = 31
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