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Simplifying 0.06(y + -7) + 0.18y = 0.04y + -2.1 Reorder the terms: 0.06(-7 + y) + 0.18y = 0.04y + -2.1 (-7 * 0.06 + y * 0.06) + 0.18y = 0.04y + -2.1 (-0.42 + 0.06y) + 0.18y = 0.04y + -2.1 Combine like terms: 0.06y + 0.18y = 0.24y -0.42 + 0.24y = 0.04y + -2.1 Reorder the terms: -0.42 + 0.24y = -2.1 + 0.04y Solving -0.42 + 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. -0.42 + 0.24y + -0.04y = -2.1 + 0.04y + -0.04y Combine like terms: 0.24y + -0.04y = 0.2y -0.42 + 0.2y = -2.1 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.42 + 0.2y = -2.1 + 0.00 -0.42 + 0.2y = -2.1 Add '0.42' to each side of the equation. -0.42 + 0.42 + 0.2y = -2.1 + 0.42 Combine like terms: -0.42 + 0.42 = 0.00 0.00 + 0.2y = -2.1 + 0.42 0.2y = -2.1 + 0.42 Combine like terms: -2.1 + 0.42 = -1.68 0.2y = -1.68 Divide each side by '0.2'. y = -8.4 Simplifying y = -8.4
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