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Simplifying 0.20(y + -4) + 0.18y = 0.10y + -0.01(10) Reorder the terms: 0.20(-4 + y) + 0.18y = 0.10y + -0.01(10) (-4 * 0.20 + y * 0.20) + 0.18y = 0.10y + -0.01(10) (-0.8 + 0.20y) + 0.18y = 0.10y + -0.01(10) Combine like terms: 0.20y + 0.18y = 0.38y -0.8 + 0.38y = 0.10y + -0.01(10) Multiply -0.01 * 10 -0.8 + 0.38y = 0.10y + -0.1 Reorder the terms: -0.8 + 0.38y = -0.1 + 0.10y Solving -0.8 + 0.38y = -0.1 + 0.10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.10y' to each side of the equation. -0.8 + 0.38y + -0.10y = -0.1 + 0.10y + -0.10y Combine like terms: 0.38y + -0.10y = 0.28y -0.8 + 0.28y = -0.1 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.8 + 0.28y = -0.1 + 0.00 -0.8 + 0.28y = -0.1 Add '0.8' to each side of the equation. -0.8 + 0.8 + 0.28y = -0.1 + 0.8 Combine like terms: -0.8 + 0.8 = 0.0 0.0 + 0.28y = -0.1 + 0.8 0.28y = -0.1 + 0.8 Combine like terms: -0.1 + 0.8 = 0.7 0.28y = 0.7 Divide each side by '0.28'. y = 2.5 Simplifying y = 2.5
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