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Simplifying 0.20(y + -8) + 0.06y = 0.18y + -1.8 Reorder the terms: 0.20(-8 + y) + 0.06y = 0.18y + -1.8 (-8 * 0.20 + y * 0.20) + 0.06y = 0.18y + -1.8 (-1.6 + 0.20y) + 0.06y = 0.18y + -1.8 Combine like terms: 0.20y + 0.06y = 0.26y -1.6 + 0.26y = 0.18y + -1.8 Reorder the terms: -1.6 + 0.26y = -1.8 + 0.18y Solving -1.6 + 0.26y = -1.8 + 0.18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.18y' to each side of the equation. -1.6 + 0.26y + -0.18y = -1.8 + 0.18y + -0.18y Combine like terms: 0.26y + -0.18y = 0.08y -1.6 + 0.08y = -1.8 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -1.6 + 0.08y = -1.8 + 0.00 -1.6 + 0.08y = -1.8 Add '1.6' to each side of the equation. -1.6 + 1.6 + 0.08y = -1.8 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 0.08y = -1.8 + 1.6 0.08y = -1.8 + 1.6 Combine like terms: -1.8 + 1.6 = -0.2 0.08y = -0.2 Divide each side by '0.08'. y = -2.5 Simplifying y = -2.5
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