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Simplifying 0.20(y + -8) + 0.02y = 0.14y + -0.07(30) Reorder the terms: 0.20(-8 + y) + 0.02y = 0.14y + -0.07(30) (-8 * 0.20 + y * 0.20) + 0.02y = 0.14y + -0.07(30) (-1.6 + 0.20y) + 0.02y = 0.14y + -0.07(30) Combine like terms: 0.20y + 0.02y = 0.22y -1.6 + 0.22y = 0.14y + -0.07(30) Multiply -0.07 * 30 -1.6 + 0.22y = 0.14y + -2.1 Reorder the terms: -1.6 + 0.22y = -2.1 + 0.14y Solving -1.6 + 0.22y = -2.1 + 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. -1.6 + 0.22y + -0.14y = -2.1 + 0.14y + -0.14y Combine like terms: 0.22y + -0.14y = 0.08y -1.6 + 0.08y = -2.1 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -1.6 + 0.08y = -2.1 + 0.00 -1.6 + 0.08y = -2.1 Add '1.6' to each side of the equation. -1.6 + 1.6 + 0.08y = -2.1 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 0.08y = -2.1 + 1.6 0.08y = -2.1 + 1.6 Combine like terms: -2.1 + 1.6 = -0.5 0.08y = -0.5 Divide each side by '0.08'. y = -6.25 Simplifying y = -6.25
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