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Simplifying 0.14(y + -4) + 0.10y = 0.04y + -0.05(30) Reorder the terms: 0.14(-4 + y) + 0.10y = 0.04y + -0.05(30) (-4 * 0.14 + y * 0.14) + 0.10y = 0.04y + -0.05(30) (-0.56 + 0.14y) + 0.10y = 0.04y + -0.05(30) Combine like terms: 0.14y + 0.10y = 0.24y -0.56 + 0.24y = 0.04y + -0.05(30) Multiply -0.05 * 30 -0.56 + 0.24y = 0.04y + -1.5 Reorder the terms: -0.56 + 0.24y = -1.5 + 0.04y Solving -0.56 + 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. -0.56 + 0.24y + -0.04y = -1.5 + 0.04y + -0.04y Combine like terms: 0.24y + -0.04y = 0.2y -0.56 + 0.2y = -1.5 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.56 + 0.2y = -1.5 + 0.00 -0.56 + 0.2y = -1.5 Add '0.56' to each side of the equation. -0.56 + 0.56 + 0.2y = -1.5 + 0.56 Combine like terms: -0.56 + 0.56 = 0.00 0.00 + 0.2y = -1.5 + 0.56 0.2y = -1.5 + 0.56 Combine like terms: -1.5 + 0.56 = -0.94 0.2y = -0.94 Divide each side by '0.2'. y = -4.7 Simplifying y = -4.7
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