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Simplifying 0.04(y + -9) + 0.20y = 0.16y + -0.01(30) Reorder the terms: 0.04(-9 + y) + 0.20y = 0.16y + -0.01(30) (-9 * 0.04 + y * 0.04) + 0.20y = 0.16y + -0.01(30) (-0.36 + 0.04y) + 0.20y = 0.16y + -0.01(30) Combine like terms: 0.04y + 0.20y = 0.24y -0.36 + 0.24y = 0.16y + -0.01(30) Multiply -0.01 * 30 -0.36 + 0.24y = 0.16y + -0.3 Reorder the terms: -0.36 + 0.24y = -0.3 + 0.16y Solving -0.36 + 0.24y = -0.3 + 0.16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.16y' to each side of the equation. -0.36 + 0.24y + -0.16y = -0.3 + 0.16y + -0.16y Combine like terms: 0.24y + -0.16y = 0.08y -0.36 + 0.08y = -0.3 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.36 + 0.08y = -0.3 + 0.00 -0.36 + 0.08y = -0.3 Add '0.36' to each side of the equation. -0.36 + 0.36 + 0.08y = -0.3 + 0.36 Combine like terms: -0.36 + 0.36 = 0.00 0.00 + 0.08y = -0.3 + 0.36 0.08y = -0.3 + 0.36 Combine like terms: -0.3 + 0.36 = 0.06 0.08y = 0.06 Divide each side by '0.08'. y = 0.75 Simplifying y = 0.75
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