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Simplifying 0.18(y + -5) + 0.20y = 0.14 + -0.03(40) Reorder the terms: 0.18(-5 + y) + 0.20y = 0.14 + -0.03(40) (-5 * 0.18 + y * 0.18) + 0.20y = 0.14 + -0.03(40) (-0.9 + 0.18y) + 0.20y = 0.14 + -0.03(40) Combine like terms: 0.18y + 0.20y = 0.38y -0.9 + 0.38y = 0.14 + -0.03(40) Multiply -0.03 * 40 -0.9 + 0.38y = 0.14 + -1.2 Combine like terms: 0.14 + -1.2 = -1.06 -0.9 + 0.38y = -1.06 Solving -0.9 + 0.38y = -1.06 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.9' to each side of the equation. -0.9 + 0.9 + 0.38y = -1.06 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 0.38y = -1.06 + 0.9 0.38y = -1.06 + 0.9 Combine like terms: -1.06 + 0.9 = -0.16 0.38y = -0.16 Divide each side by '0.38'. y = -0.4210526316 Simplifying y = -0.4210526316
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