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Simplifying 0.10(y + -3) + 0.14y = 0.04y + -0.05(30) Reorder the terms: 0.10(-3 + y) + 0.14y = 0.04y + -0.05(30) (-3 * 0.10 + y * 0.10) + 0.14y = 0.04y + -0.05(30) (-0.3 + 0.10y) + 0.14y = 0.04y + -0.05(30) Combine like terms: 0.10y + 0.14y = 0.24y -0.3 + 0.24y = 0.04y + -0.05(30) Multiply -0.05 * 30 -0.3 + 0.24y = 0.04y + -1.5 Reorder the terms: -0.3 + 0.24y = -1.5 + 0.04y Solving -0.3 + 0.24y = -1.5 + 0.04y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.04y' to each side of the equation. -0.3 + 0.24y + -0.04y = -1.5 + 0.04y + -0.04y Combine like terms: 0.24y + -0.04y = 0.2y -0.3 + 0.2y = -1.5 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.3 + 0.2y = -1.5 + 0.00 -0.3 + 0.2y = -1.5 Add '0.3' to each side of the equation. -0.3 + 0.3 + 0.2y = -1.5 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 0.2y = -1.5 + 0.3 0.2y = -1.5 + 0.3 Combine like terms: -1.5 + 0.3 = -1.2 0.2y = -1.2 Divide each side by '0.2'. y = -6 Simplifying y = -6
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