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Simplifying 0.18(y + -9) + 0.06y = 0.04y + -0.07(30) Reorder the terms: 0.18(-9 + y) + 0.06y = 0.04y + -0.07(30) (-9 * 0.18 + y * 0.18) + 0.06y = 0.04y + -0.07(30) (-1.62 + 0.18y) + 0.06y = 0.04y + -0.07(30) Combine like terms: 0.18y + 0.06y = 0.24y -1.62 + 0.24y = 0.04y + -0.07(30) Multiply -0.07 * 30 -1.62 + 0.24y = 0.04y + -2.1 Reorder the terms: -1.62 + 0.24y = -2.1 + 0.04y Solving -1.62 + 0.24y = -2.1 + 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. -1.62 + 0.24y + -0.04y = -2.1 + 0.04y + -0.04y Combine like terms: 0.24y + -0.04y = 0.2y -1.62 + 0.2y = -2.1 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -1.62 + 0.2y = -2.1 + 0.00 -1.62 + 0.2y = -2.1 Add '1.62' to each side of the equation. -1.62 + 1.62 + 0.2y = -2.1 + 1.62 Combine like terms: -1.62 + 1.62 = 0.00 0.00 + 0.2y = -2.1 + 1.62 0.2y = -2.1 + 1.62 Combine like terms: -2.1 + 1.62 = -0.48 0.2y = -0.48 Divide each side by '0.2'. y = -2.4 Simplifying y = -2.4
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