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Simplifying 0.14(y + -9) + 0.10y = 0.04y + -0.03(30) Reorder the terms: 0.14(-9 + y) + 0.10y = 0.04y + -0.03(30) (-9 * 0.14 + y * 0.14) + 0.10y = 0.04y + -0.03(30) (-1.26 + 0.14y) + 0.10y = 0.04y + -0.03(30) Combine like terms: 0.14y + 0.10y = 0.24y -1.26 + 0.24y = 0.04y + -0.03(30) Multiply -0.03 * 30 -1.26 + 0.24y = 0.04y + -0.9 Reorder the terms: -1.26 + 0.24y = -0.9 + 0.04y Solving -1.26 + 0.24y = -0.9 + 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. -1.26 + 0.24y + -0.04y = -0.9 + 0.04y + -0.04y Combine like terms: 0.24y + -0.04y = 0.2y -1.26 + 0.2y = -0.9 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -1.26 + 0.2y = -0.9 + 0.00 -1.26 + 0.2y = -0.9 Add '1.26' to each side of the equation. -1.26 + 1.26 + 0.2y = -0.9 + 1.26 Combine like terms: -1.26 + 1.26 = 0.00 0.00 + 0.2y = -0.9 + 1.26 0.2y = -0.9 + 1.26 Combine like terms: -0.9 + 1.26 = 0.36 0.2y = 0.36 Divide each side by '0.2'. y = 1.8 Simplifying y = 1.8
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