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Simplifying 0.20(y + -8) + 0.14y = 0.06y + -0.09(10) Reorder the terms: 0.20(-8 + y) + 0.14y = 0.06y + -0.09(10) (-8 * 0.20 + y * 0.20) + 0.14y = 0.06y + -0.09(10) (-1.6 + 0.20y) + 0.14y = 0.06y + -0.09(10) Combine like terms: 0.20y + 0.14y = 0.34y -1.6 + 0.34y = 0.06y + -0.09(10) Multiply -0.09 * 10 -1.6 + 0.34y = 0.06y + -0.9 Reorder the terms: -1.6 + 0.34y = -0.9 + 0.06y Solving -1.6 + 0.34y = -0.9 + 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 + 0.34y + -0.06y = -0.9 + 0.06y + -0.06y Combine like terms: 0.34y + -0.06y = 0.28y -1.6 + 0.28y = -0.9 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -1.6 + 0.28y = -0.9 + 0.00 -1.6 + 0.28y = -0.9 Add '1.6' to each side of the equation. -1.6 + 1.6 + 0.28y = -0.9 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 0.28y = -0.9 + 1.6 0.28y = -0.9 + 1.6 Combine like terms: -0.9 + 1.6 = 0.7 0.28y = 0.7 Divide each side by '0.28'. y = 2.5 Simplifying y = 2.5
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