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Simplifying 0.08(y + -9) + 0.04y = 0.20y + -0.03(30) Reorder the terms: 0.08(-9 + y) + 0.04y = 0.20y + -0.03(30) (-9 * 0.08 + y * 0.08) + 0.04y = 0.20y + -0.03(30) (-0.72 + 0.08y) + 0.04y = 0.20y + -0.03(30) Combine like terms: 0.08y + 0.04y = 0.12y -0.72 + 0.12y = 0.20y + -0.03(30) Multiply -0.03 * 30 -0.72 + 0.12y = 0.20y + -0.9 Reorder the terms: -0.72 + 0.12y = -0.9 + 0.20y Solving -0.72 + 0.12y = -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. -0.72 + 0.12y + -0.20y = -0.9 + 0.20y + -0.20y Combine like terms: 0.12y + -0.20y = -0.08y -0.72 + -0.08y = -0.9 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.72 + -0.08y = -0.9 + 0.00 -0.72 + -0.08y = -0.9 Add '0.72' to each side of the equation. -0.72 + 0.72 + -0.08y = -0.9 + 0.72 Combine like terms: -0.72 + 0.72 = 0.00 0.00 + -0.08y = -0.9 + 0.72 -0.08y = -0.9 + 0.72 Combine like terms: -0.9 + 0.72 = -0.18 -0.08y = -0.18 Divide each side by '-0.08'. y = 2.25 Simplifying y = 2.25
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