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Simplifying 0.20(y + -4) + 0.02y = 0.14y + -0.05(10) Reorder the terms: 0.20(-4 + y) + 0.02y = 0.14y + -0.05(10) (-4 * 0.20 + y * 0.20) + 0.02y = 0.14y + -0.05(10) (-0.8 + 0.20y) + 0.02y = 0.14y + -0.05(10) Combine like terms: 0.20y + 0.02y = 0.22y -0.8 + 0.22y = 0.14y + -0.05(10) Multiply -0.05 * 10 -0.8 + 0.22y = 0.14y + -0.5 Reorder the terms: -0.8 + 0.22y = -0.5 + 0.14y Solving -0.8 + 0.22y = -0.5 + 0.14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.14y' to each side of the equation. -0.8 + 0.22y + -0.14y = -0.5 + 0.14y + -0.14y Combine like terms: 0.22y + -0.14y = 0.08y -0.8 + 0.08y = -0.5 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.8 + 0.08y = -0.5 + 0.00 -0.8 + 0.08y = -0.5 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.08y = -0.5 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.08y = -0.5 + 0.8 0.08y = -0.5 + 0.8 Combine like terms: -0.5 + 0.8 = 0.3 0.08y = 0.3 Divide each side by '0.08'. y = 3.75 Simplifying y = 3.75
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