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Simplifying 0.10(y + -4) + 0.04y = 0.06y + -0.6 Reorder the terms: 0.10(-4 + y) + 0.04y = 0.06y + -0.6 (-4 * 0.10 + y * 0.10) + 0.04y = 0.06y + -0.6 (-0.4 + 0.10y) + 0.04y = 0.06y + -0.6 Combine like terms: 0.10y + 0.04y = 0.14y -0.4 + 0.14y = 0.06y + -0.6 Reorder the terms: -0.4 + 0.14y = -0.6 + 0.06y Solving -0.4 + 0.14y = -0.6 + 0.06y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.06y' to each side of the equation. -0.4 + 0.14y + -0.06y = -0.6 + 0.06y + -0.06y Combine like terms: 0.14y + -0.06y = 0.08y -0.4 + 0.08y = -0.6 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.4 + 0.08y = -0.6 + 0.00 -0.4 + 0.08y = -0.6 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.08y = -0.6 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.08y = -0.6 + 0.4 0.08y = -0.6 + 0.4 Combine like terms: -0.6 + 0.4 = -0.2 0.08y = -0.2 Divide each side by '0.08'. y = -2.5 Simplifying y = -2.5
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