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Simplifying 0.18(y + -5) + 0.20y = 0.20y + -1.8 Reorder the terms: 0.18(-5 + y) + 0.20y = 0.20y + -1.8 (-5 * 0.18 + y * 0.18) + 0.20y = 0.20y + -1.8 (-0.9 + 0.18y) + 0.20y = 0.20y + -1.8 Combine like terms: 0.18y + 0.20y = 0.38y -0.9 + 0.38y = 0.20y + -1.8 Reorder the terms: -0.9 + 0.38y = -1.8 + 0.20y Solving -0.9 + 0.38y = -1.8 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -0.9 + 0.38y + -0.20y = -1.8 + 0.20y + -0.20y Combine like terms: 0.38y + -0.20y = 0.18y -0.9 + 0.18y = -1.8 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -0.9 + 0.18y = -1.8 + 0.00 -0.9 + 0.18y = -1.8 Add '0.9' to each side of the equation. -0.9 + 0.9 + 0.18y = -1.8 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 0.18y = -1.8 + 0.9 0.18y = -1.8 + 0.9 Combine like terms: -1.8 + 0.9 = -0.9 0.18y = -0.9 Divide each side by '0.18'. y = -5 Simplifying y = -5
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