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Simplifying 0.20(y + -6) + 0.14y = 0.10y + -0.01(60) Reorder the terms: 0.20(-6 + y) + 0.14y = 0.10y + -0.01(60) (-6 * 0.20 + y * 0.20) + 0.14y = 0.10y + -0.01(60) (-1.2 + 0.20y) + 0.14y = 0.10y + -0.01(60) Combine like terms: 0.20y + 0.14y = 0.34y -1.2 + 0.34y = 0.10y + -0.01(60) Multiply -0.01 * 60 -1.2 + 0.34y = 0.10y + -0.6 Reorder the terms: -1.2 + 0.34y = -0.6 + 0.10y Solving -1.2 + 0.34y = -0.6 + 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. -1.2 + 0.34y + -0.10y = -0.6 + 0.10y + -0.10y Combine like terms: 0.34y + -0.10y = 0.24y -1.2 + 0.24y = -0.6 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -1.2 + 0.24y = -0.6 + 0.00 -1.2 + 0.24y = -0.6 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.24y = -0.6 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.24y = -0.6 + 1.2 0.24y = -0.6 + 1.2 Combine like terms: -0.6 + 1.2 = 0.6 0.24y = 0.6 Divide each side by '0.24'. y = 2.5 Simplifying y = 2.5
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