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Simplifying 0.04(y + -9) + 0.08y = 0.20y + -0.5 Reorder the terms: 0.04(-9 + y) + 0.08y = 0.20y + -0.5 (-9 * 0.04 + y * 0.04) + 0.08y = 0.20y + -0.5 (-0.36 + 0.04y) + 0.08y = 0.20y + -0.5 Combine like terms: 0.04y + 0.08y = 0.12y -0.36 + 0.12y = 0.20y + -0.5 Reorder the terms: -0.36 + 0.12y = -0.5 + 0.20y Solving -0.36 + 0.12y = -0.5 + 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. -0.36 + 0.12y + -0.20y = -0.5 + 0.20y + -0.20y Combine like terms: 0.12y + -0.20y = -0.08y -0.36 + -0.08y = -0.5 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.36 + -0.08y = -0.5 + 0.00 -0.36 + -0.08y = -0.5 Add '0.36' to each side of the equation. -0.36 + 0.36 + -0.08y = -0.5 + 0.36 Combine like terms: -0.36 + 0.36 = 0.00 0.00 + -0.08y = -0.5 + 0.36 -0.08y = -0.5 + 0.36 Combine like terms: -0.5 + 0.36 = -0.14 -0.08y = -0.14 Divide each side by '-0.08'. y = 1.75 Simplifying y = 1.75
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