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Simplifying 0.06(y + -7) + 0.04y = 0.14y + -0.4 Reorder the terms: 0.06(-7 + y) + 0.04y = 0.14y + -0.4 (-7 * 0.06 + y * 0.06) + 0.04y = 0.14y + -0.4 (-0.42 + 0.06y) + 0.04y = 0.14y + -0.4 Combine like terms: 0.06y + 0.04y = 0.1y -0.42 + 0.1y = 0.14y + -0.4 Reorder the terms: -0.42 + 0.1y = -0.4 + 0.14y Solving -0.42 + 0.1y = -0.4 + 0.14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.14y' to each side of the equation. -0.42 + 0.1y + -0.14y = -0.4 + 0.14y + -0.14y Combine like terms: 0.1y + -0.14y = -0.04y -0.42 + -0.04y = -0.4 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.42 + -0.04y = -0.4 + 0.00 -0.42 + -0.04y = -0.4 Add '0.42' to each side of the equation. -0.42 + 0.42 + -0.04y = -0.4 + 0.42 Combine like terms: -0.42 + 0.42 = 0.00 0.00 + -0.04y = -0.4 + 0.42 -0.04y = -0.4 + 0.42 Combine like terms: -0.4 + 0.42 = 0.02 -0.04y = 0.02 Divide each side by '-0.04'. y = -0.5 Simplifying y = -0.5
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