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Simplifying 0.04(y + -8) + 0.06y = 0.20y + -0.03(30) Reorder the terms: 0.04(-8 + y) + 0.06y = 0.20y + -0.03(30) (-8 * 0.04 + y * 0.04) + 0.06y = 0.20y + -0.03(30) (-0.32 + 0.04y) + 0.06y = 0.20y + -0.03(30) Combine like terms: 0.04y + 0.06y = 0.1y -0.32 + 0.1y = 0.20y + -0.03(30) Multiply -0.03 * 30 -0.32 + 0.1y = 0.20y + -0.9 Reorder the terms: -0.32 + 0.1y = -0.9 + 0.20y Solving -0.32 + 0.1y = -0.9 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -0.32 + 0.1y + -0.20y = -0.9 + 0.20y + -0.20y Combine like terms: 0.1y + -0.20y = -0.1y -0.32 + -0.1y = -0.9 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.32 + -0.1y = -0.9 + 0.00 -0.32 + -0.1y = -0.9 Add '0.32' to each side of the equation. -0.32 + 0.32 + -0.1y = -0.9 + 0.32 Combine like terms: -0.32 + 0.32 = 0.00 0.00 + -0.1y = -0.9 + 0.32 -0.1y = -0.9 + 0.32 Combine like terms: -0.9 + 0.32 = -0.58 -0.1y = -0.58 Divide each side by '-0.1'. y = 5.8 Simplifying y = 5.8
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