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Simplifying 0.20(y + -3) + 0.18y = 0.08y + -0.08 + -0.03(50) Reorder the terms: 0.20(-3 + y) + 0.18y = 0.08y + -0.08 + -0.03(50) (-3 * 0.20 + y * 0.20) + 0.18y = 0.08y + -0.08 + -0.03(50) (-0.6 + 0.20y) + 0.18y = 0.08y + -0.08 + -0.03(50) Combine like terms: 0.20y + 0.18y = 0.38y -0.6 + 0.38y = 0.08y + -0.08 + -0.03(50) Multiply -0.03 * 50 -0.6 + 0.38y = 0.08y + -0.08 + -1.5 Reorder the terms: -0.6 + 0.38y = -0.08 + -1.5 + 0.08y Combine like terms: -0.08 + -1.5 = -1.58 -0.6 + 0.38y = -1.58 + 0.08y Solving -0.6 + 0.38y = -1.58 + 0.08y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.08y' to each side of the equation. -0.6 + 0.38y + -0.08y = -1.58 + 0.08y + -0.08y Combine like terms: 0.38y + -0.08y = 0.3y -0.6 + 0.3y = -1.58 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.6 + 0.3y = -1.58 + 0.00 -0.6 + 0.3y = -1.58 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.3y = -1.58 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.3y = -1.58 + 0.6 0.3y = -1.58 + 0.6 Combine like terms: -1.58 + 0.6 = -0.98 0.3y = -0.98 Divide each side by '0.3'. y = -3.266666667 Simplifying y = -3.266666667
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