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Simplifying 0.18(y + -4) + 0.16 = 0.04y + -0.09(20) Reorder the terms: 0.18(-4 + y) + 0.16 = 0.04y + -0.09(20) (-4 * 0.18 + y * 0.18) + 0.16 = 0.04y + -0.09(20) (-0.72 + 0.18y) + 0.16 = 0.04y + -0.09(20) Reorder the terms: -0.72 + 0.16 + 0.18y = 0.04y + -0.09(20) Combine like terms: -0.72 + 0.16 = -0.56 -0.56 + 0.18y = 0.04y + -0.09(20) Multiply -0.09 * 20 -0.56 + 0.18y = 0.04y + -1.8 Reorder the terms: -0.56 + 0.18y = -1.8 + 0.04y Solving -0.56 + 0.18y = -1.8 + 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. -0.56 + 0.18y + -0.04y = -1.8 + 0.04y + -0.04y Combine like terms: 0.18y + -0.04y = 0.14y -0.56 + 0.14y = -1.8 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.56 + 0.14y = -1.8 + 0.00 -0.56 + 0.14y = -1.8 Add '0.56' to each side of the equation. -0.56 + 0.56 + 0.14y = -1.8 + 0.56 Combine like terms: -0.56 + 0.56 = 0.00 0.00 + 0.14y = -1.8 + 0.56 0.14y = -1.8 + 0.56 Combine like terms: -1.8 + 0.56 = -1.24 0.14y = -1.24 Divide each side by '0.14'. y = -8.857142857 Simplifying y = -8.857142857
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