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Simplifying 0.10(y + -2) + 0.14y = 0.20y + -0.01(30) Reorder the terms: 0.10(-2 + y) + 0.14y = 0.20y + -0.01(30) (-2 * 0.10 + y * 0.10) + 0.14y = 0.20y + -0.01(30) (-0.2 + 0.10y) + 0.14y = 0.20y + -0.01(30) Combine like terms: 0.10y + 0.14y = 0.24y -0.2 + 0.24y = 0.20y + -0.01(30) Multiply -0.01 * 30 -0.2 + 0.24y = 0.20y + -0.3 Reorder the terms: -0.2 + 0.24y = -0.3 + 0.20y Solving -0.2 + 0.24y = -0.3 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -0.2 + 0.24y + -0.20y = -0.3 + 0.20y + -0.20y Combine like terms: 0.24y + -0.20y = 0.04y -0.2 + 0.04y = -0.3 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.2 + 0.04y = -0.3 + 0.00 -0.2 + 0.04y = -0.3 Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.04y = -0.3 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.04y = -0.3 + 0.2 0.04y = -0.3 + 0.2 Combine like terms: -0.3 + 0.2 = -0.1 0.04y = -0.1 Divide each side by '0.04'. y = -2.5 Simplifying y = -2.5
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