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Simplifying 0.20(y + -8) + 0.16y = 0.06y + -0.6 Reorder the terms: 0.20(-8 + y) + 0.16y = 0.06y + -0.6 (-8 * 0.20 + y * 0.20) + 0.16y = 0.06y + -0.6 (-1.6 + 0.20y) + 0.16y = 0.06y + -0.6 Combine like terms: 0.20y + 0.16y = 0.36y -1.6 + 0.36y = 0.06y + -0.6 Reorder the terms: -1.6 + 0.36y = -0.6 + 0.06y Solving -1.6 + 0.36y = -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. -1.6 + 0.36y + -0.06y = -0.6 + 0.06y + -0.06y Combine like terms: 0.36y + -0.06y = 0.3y -1.6 + 0.3y = -0.6 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -1.6 + 0.3y = -0.6 + 0.00 -1.6 + 0.3y = -0.6 Add '1.6' to each side of the equation. -1.6 + 1.6 + 0.3y = -0.6 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 0.3y = -0.6 + 1.6 0.3y = -0.6 + 1.6 Combine like terms: -0.6 + 1.6 = 1 0.3y = 1 Divide each side by '0.3'. y = 3.333333333 Simplifying y = 3.333333333
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