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Simplifying 0.20(y + -4) + 0.10y = 0.06y + -2 Reorder the terms: 0.20(-4 + y) + 0.10y = 0.06y + -2 (-4 * 0.20 + y * 0.20) + 0.10y = 0.06y + -2 (-0.8 + 0.20y) + 0.10y = 0.06y + -2 Combine like terms: 0.20y + 0.10y = 0.3y -0.8 + 0.3y = 0.06y + -2 Reorder the terms: -0.8 + 0.3y = -2 + 0.06y Solving -0.8 + 0.3y = -2 + 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. -0.8 + 0.3y + -0.06y = -2 + 0.06y + -0.06y Combine like terms: 0.3y + -0.06y = 0.24y -0.8 + 0.24y = -2 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.8 + 0.24y = -2 + 0.00 -0.8 + 0.24y = -2 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.24y = -2 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.24y = -2 + 0.8 0.24y = -2 + 0.8 Combine like terms: -2 + 0.8 = -1.2 0.24y = -1.2 Divide each side by '0.24'. y = -5 Simplifying y = -5
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