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Simplifying 0.16(y + -8) + 0.02y = 0.04y + -0.05(20) Reorder the terms: 0.16(-8 + y) + 0.02y = 0.04y + -0.05(20) (-8 * 0.16 + y * 0.16) + 0.02y = 0.04y + -0.05(20) (-1.28 + 0.16y) + 0.02y = 0.04y + -0.05(20) Combine like terms: 0.16y + 0.02y = 0.18y -1.28 + 0.18y = 0.04y + -0.05(20) Multiply -0.05 * 20 -1.28 + 0.18y = 0.04y + -1 Reorder the terms: -1.28 + 0.18y = -1 + 0.04y Solving -1.28 + 0.18y = -1 + 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. -1.28 + 0.18y + -0.04y = -1 + 0.04y + -0.04y Combine like terms: 0.18y + -0.04y = 0.14y -1.28 + 0.14y = -1 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -1.28 + 0.14y = -1 + 0.00 -1.28 + 0.14y = -1 Add '1.28' to each side of the equation. -1.28 + 1.28 + 0.14y = -1 + 1.28 Combine like terms: -1.28 + 1.28 = 0.00 0.00 + 0.14y = -1 + 1.28 0.14y = -1 + 1.28 Combine like terms: -1 + 1.28 = 0.28 0.14y = 0.28 Divide each side by '0.14'. y = 2 Simplifying y = 2
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