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Simplifying 0.20(y + -7) + 0.18y = 0.14y + -0.01(50) Reorder the terms: 0.20(-7 + y) + 0.18y = 0.14y + -0.01(50) (-7 * 0.20 + y * 0.20) + 0.18y = 0.14y + -0.01(50) (-1.4 + 0.20y) + 0.18y = 0.14y + -0.01(50) Combine like terms: 0.20y + 0.18y = 0.38y -1.4 + 0.38y = 0.14y + -0.01(50) Multiply -0.01 * 50 -1.4 + 0.38y = 0.14y + -0.5 Reorder the terms: -1.4 + 0.38y = -0.5 + 0.14y Solving -1.4 + 0.38y = -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. -1.4 + 0.38y + -0.14y = -0.5 + 0.14y + -0.14y Combine like terms: 0.38y + -0.14y = 0.24y -1.4 + 0.24y = -0.5 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -1.4 + 0.24y = -0.5 + 0.00 -1.4 + 0.24y = -0.5 Add '1.4' to each side of the equation. -1.4 + 1.4 + 0.24y = -0.5 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 0.24y = -0.5 + 1.4 0.24y = -0.5 + 1.4 Combine like terms: -0.5 + 1.4 = 0.9 0.24y = 0.9 Divide each side by '0.24'. y = 3.75 Simplifying y = 3.75
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