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Simplifying 0.18(y + -2) + 0.20y = 0.02y + -0.09(30) Reorder the terms: 0.18(-2 + y) + 0.20y = 0.02y + -0.09(30) (-2 * 0.18 + y * 0.18) + 0.20y = 0.02y + -0.09(30) (-0.36 + 0.18y) + 0.20y = 0.02y + -0.09(30) Combine like terms: 0.18y + 0.20y = 0.38y -0.36 + 0.38y = 0.02y + -0.09(30) Multiply -0.09 * 30 -0.36 + 0.38y = 0.02y + -2.7 Reorder the terms: -0.36 + 0.38y = -2.7 + 0.02y Solving -0.36 + 0.38y = -2.7 + 0.02y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.02y' to each side of the equation. -0.36 + 0.38y + -0.02y = -2.7 + 0.02y + -0.02y Combine like terms: 0.38y + -0.02y = 0.36y -0.36 + 0.36y = -2.7 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.36 + 0.36y = -2.7 + 0.00 -0.36 + 0.36y = -2.7 Add '0.36' to each side of the equation. -0.36 + 0.36 + 0.36y = -2.7 + 0.36 Combine like terms: -0.36 + 0.36 = 0.00 0.00 + 0.36y = -2.7 + 0.36 0.36y = -2.7 + 0.36 Combine like terms: -2.7 + 0.36 = -2.34 0.36y = -2.34 Divide each side by '0.36'. y = -6.5 Simplifying y = -6.5
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