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Simplifying 0.14(y + -2) + 0.08y = 0.20y + -0.01(20) Reorder the terms: 0.14(-2 + y) + 0.08y = 0.20y + -0.01(20) (-2 * 0.14 + y * 0.14) + 0.08y = 0.20y + -0.01(20) (-0.28 + 0.14y) + 0.08y = 0.20y + -0.01(20) Combine like terms: 0.14y + 0.08y = 0.22y -0.28 + 0.22y = 0.20y + -0.01(20) Multiply -0.01 * 20 -0.28 + 0.22y = 0.20y + -0.2 Reorder the terms: -0.28 + 0.22y = -0.2 + 0.20y Solving -0.28 + 0.22y = -0.2 + 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. -0.28 + 0.22y + -0.20y = -0.2 + 0.20y + -0.20y Combine like terms: 0.22y + -0.20y = 0.02y -0.28 + 0.02y = -0.2 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.28 + 0.02y = -0.2 + 0.00 -0.28 + 0.02y = -0.2 Add '0.28' to each side of the equation. -0.28 + 0.28 + 0.02y = -0.2 + 0.28 Combine like terms: -0.28 + 0.28 = 0.00 0.00 + 0.02y = -0.2 + 0.28 0.02y = -0.2 + 0.28 Combine like terms: -0.2 + 0.28 = 0.08 0.02y = 0.08 Divide each side by '0.02'. y = 4 Simplifying y = 4
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