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Simplifying 0.06(y + -7) + 0.08y = 0.18y + -0.2 Reorder the terms: 0.06(-7 + y) + 0.08y = 0.18y + -0.2 (-7 * 0.06 + y * 0.06) + 0.08y = 0.18y + -0.2 (-0.42 + 0.06y) + 0.08y = 0.18y + -0.2 Combine like terms: 0.06y + 0.08y = 0.14y -0.42 + 0.14y = 0.18y + -0.2 Reorder the terms: -0.42 + 0.14y = -0.2 + 0.18y Solving -0.42 + 0.14y = -0.2 + 0.18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.18y' to each side of the equation. -0.42 + 0.14y + -0.18y = -0.2 + 0.18y + -0.18y Combine like terms: 0.14y + -0.18y = -0.04y -0.42 + -0.04y = -0.2 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -0.42 + -0.04y = -0.2 + 0.00 -0.42 + -0.04y = -0.2 Add '0.42' to each side of the equation. -0.42 + 0.42 + -0.04y = -0.2 + 0.42 Combine like terms: -0.42 + 0.42 = 0.00 0.00 + -0.04y = -0.2 + 0.42 -0.04y = -0.2 + 0.42 Combine like terms: -0.2 + 0.42 = 0.22 -0.04y = 0.22 Divide each side by '-0.04'. y = -5.5 Simplifying y = -5.5
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