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Simplifying 0.08(y + -5) + 0.12 = 0.04y + -0.07(20) Reorder the terms: 0.08(-5 + y) + 0.12 = 0.04y + -0.07(20) (-5 * 0.08 + y * 0.08) + 0.12 = 0.04y + -0.07(20) (-0.4 + 0.08y) + 0.12 = 0.04y + -0.07(20) Reorder the terms: -0.4 + 0.12 + 0.08y = 0.04y + -0.07(20) Combine like terms: -0.4 + 0.12 = -0.28 -0.28 + 0.08y = 0.04y + -0.07(20) Multiply -0.07 * 20 -0.28 + 0.08y = 0.04y + -1.4 Reorder the terms: -0.28 + 0.08y = -1.4 + 0.04y Solving -0.28 + 0.08y = -1.4 + 0.04y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.04y' to each side of the equation. -0.28 + 0.08y + -0.04y = -1.4 + 0.04y + -0.04y Combine like terms: 0.08y + -0.04y = 0.04y -0.28 + 0.04y = -1.4 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.28 + 0.04y = -1.4 + 0.00 -0.28 + 0.04y = -1.4 Add '0.28' to each side of the equation. -0.28 + 0.28 + 0.04y = -1.4 + 0.28 Combine like terms: -0.28 + 0.28 = 0.00 0.00 + 0.04y = -1.4 + 0.28 0.04y = -1.4 + 0.28 Combine like terms: -1.4 + 0.28 = -1.12 0.04y = -1.12 Divide each side by '0.04'. y = -28 Simplifying y = -28
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