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Simplifying 0.18(y + -5) + 0.20y = 0.06y + -0.05(50) Reorder the terms: 0.18(-5 + y) + 0.20y = 0.06y + -0.05(50) (-5 * 0.18 + y * 0.18) + 0.20y = 0.06y + -0.05(50) (-0.9 + 0.18y) + 0.20y = 0.06y + -0.05(50) Combine like terms: 0.18y + 0.20y = 0.38y -0.9 + 0.38y = 0.06y + -0.05(50) Multiply -0.05 * 50 -0.9 + 0.38y = 0.06y + -2.5 Reorder the terms: -0.9 + 0.38y = -2.5 + 0.06y Solving -0.9 + 0.38y = -2.5 + 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. -0.9 + 0.38y + -0.06y = -2.5 + 0.06y + -0.06y Combine like terms: 0.38y + -0.06y = 0.32y -0.9 + 0.32y = -2.5 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.9 + 0.32y = -2.5 + 0.00 -0.9 + 0.32y = -2.5 Add '0.9' to each side of the equation. -0.9 + 0.9 + 0.32y = -2.5 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 0.32y = -2.5 + 0.9 0.32y = -2.5 + 0.9 Combine like terms: -2.5 + 0.9 = -1.6 0.32y = -1.6 Divide each side by '0.32'. y = -5 Simplifying y = -5
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