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Simplifying 0.06(y + -2) + 0.04y = 0.14y + -0.5 Reorder the terms: 0.06(-2 + y) + 0.04y = 0.14y + -0.5 (-2 * 0.06 + y * 0.06) + 0.04y = 0.14y + -0.5 (-0.12 + 0.06y) + 0.04y = 0.14y + -0.5 Combine like terms: 0.06y + 0.04y = 0.1y -0.12 + 0.1y = 0.14y + -0.5 Reorder the terms: -0.12 + 0.1y = -0.5 + 0.14y Solving -0.12 + 0.1y = -0.5 + 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. -0.12 + 0.1y + -0.14y = -0.5 + 0.14y + -0.14y Combine like terms: 0.1y + -0.14y = -0.04y -0.12 + -0.04y = -0.5 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.12 + -0.04y = -0.5 + 0.00 -0.12 + -0.04y = -0.5 Add '0.12' to each side of the equation. -0.12 + 0.12 + -0.04y = -0.5 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + -0.04y = -0.5 + 0.12 -0.04y = -0.5 + 0.12 Combine like terms: -0.5 + 0.12 = -0.38 -0.04y = -0.38 Divide each side by '-0.04'. y = 9.5 Simplifying y = 9.5
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