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Simplifying 0.20(y + -7) + 0.14y = 0.02y + -0.01(20) Reorder the terms: 0.20(-7 + y) + 0.14y = 0.02y + -0.01(20) (-7 * 0.20 + y * 0.20) + 0.14y = 0.02y + -0.01(20) (-1.4 + 0.20y) + 0.14y = 0.02y + -0.01(20) Combine like terms: 0.20y + 0.14y = 0.34y -1.4 + 0.34y = 0.02y + -0.01(20) Multiply -0.01 * 20 -1.4 + 0.34y = 0.02y + -0.2 Reorder the terms: -1.4 + 0.34y = -0.2 + 0.02y Solving -1.4 + 0.34y = -0.2 + 0.02y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.02y' to each side of the equation. -1.4 + 0.34y + -0.02y = -0.2 + 0.02y + -0.02y Combine like terms: 0.34y + -0.02y = 0.32y -1.4 + 0.32y = -0.2 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -1.4 + 0.32y = -0.2 + 0.00 -1.4 + 0.32y = -0.2 Add '1.4' to each side of the equation. -1.4 + 1.4 + 0.32y = -0.2 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 0.32y = -0.2 + 1.4 0.32y = -0.2 + 1.4 Combine like terms: -0.2 + 1.4 = 1.2 0.32y = 1.2 Divide each side by '0.32'. y = 3.75 Simplifying y = 3.75
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