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Simplifying 0.20(y + -2) + 0.14y = 0.10y + -0.01(10) Reorder the terms: 0.20(-2 + y) + 0.14y = 0.10y + -0.01(10) (-2 * 0.20 + y * 0.20) + 0.14y = 0.10y + -0.01(10) (-0.4 + 0.20y) + 0.14y = 0.10y + -0.01(10) Combine like terms: 0.20y + 0.14y = 0.34y -0.4 + 0.34y = 0.10y + -0.01(10) Multiply -0.01 * 10 -0.4 + 0.34y = 0.10y + -0.1 Reorder the terms: -0.4 + 0.34y = -0.1 + 0.10y Solving -0.4 + 0.34y = -0.1 + 0.10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.10y' to each side of the equation. -0.4 + 0.34y + -0.10y = -0.1 + 0.10y + -0.10y Combine like terms: 0.34y + -0.10y = 0.24y -0.4 + 0.24y = -0.1 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.4 + 0.24y = -0.1 + 0.00 -0.4 + 0.24y = -0.1 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.24y = -0.1 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.24y = -0.1 + 0.4 0.24y = -0.1 + 0.4 Combine like terms: -0.1 + 0.4 = 0.3 0.24y = 0.3 Divide each side by '0.24'. y = 1.25 Simplifying y = 1.25
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