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Simplifying 0.20(y + -4) + 0.16y = 0.06y + -0.5 Reorder the terms: 0.20(-4 + y) + 0.16y = 0.06y + -0.5 (-4 * 0.20 + y * 0.20) + 0.16y = 0.06y + -0.5 (-0.8 + 0.20y) + 0.16y = 0.06y + -0.5 Combine like terms: 0.20y + 0.16y = 0.36y -0.8 + 0.36y = 0.06y + -0.5 Reorder the terms: -0.8 + 0.36y = -0.5 + 0.06y Solving -0.8 + 0.36y = -0.5 + 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 + 0.36y + -0.06y = -0.5 + 0.06y + -0.06y Combine like terms: 0.36y + -0.06y = 0.3y -0.8 + 0.3y = -0.5 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.8 + 0.3y = -0.5 + 0.00 -0.8 + 0.3y = -0.5 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.3y = -0.5 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.3y = -0.5 + 0.8 0.3y = -0.5 + 0.8 Combine like terms: -0.5 + 0.8 = 0.3 0.3y = 0.3 Divide each side by '0.3'. y = 1 Simplifying y = 1
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