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Simplifying 0.04(4y + -2) = 0.02(2 + 3y) + 8 Reorder the terms: 0.04(-2 + 4y) = 0.02(2 + 3y) + 8 (-2 * 0.04 + 4y * 0.04) = 0.02(2 + 3y) + 8 (-0.08 + 0.16y) = 0.02(2 + 3y) + 8 -0.08 + 0.16y = (2 * 0.02 + 3y * 0.02) + 8 -0.08 + 0.16y = (0.04 + 0.06y) + 8 Reorder the terms: -0.08 + 0.16y = 0.04 + 8 + 0.06y Combine like terms: 0.04 + 8 = 8.04 -0.08 + 0.16y = 8.04 + 0.06y Solving -0.08 + 0.16y = 8.04 + 0.06y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.06y' to each side of the equation. -0.08 + 0.16y + -0.06y = 8.04 + 0.06y + -0.06y Combine like terms: 0.16y + -0.06y = 0.1y -0.08 + 0.1y = 8.04 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.08 + 0.1y = 8.04 + 0.00 -0.08 + 0.1y = 8.04 Add '0.08' to each side of the equation. -0.08 + 0.08 + 0.1y = 8.04 + 0.08 Combine like terms: -0.08 + 0.08 = 0.00 0.00 + 0.1y = 8.04 + 0.08 0.1y = 8.04 + 0.08 Combine like terms: 8.04 + 0.08 = 8.12 0.1y = 8.12 Divide each side by '0.1'. y = 81.2 Simplifying y = 81.2
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