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Simplifying 34.1 = -3.1(4y + 5) Reorder the terms: 34.1 = -3.1(5 + 4y) 34.1 = (5 * -3.1 + 4y * -3.1) 34.1 = (-15.5 + -12.4y) Solving 34.1 = -15.5 + -12.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12.4y' to each side of the equation. 34.1 + 12.4y = -15.5 + -12.4y + 12.4y Combine like terms: -12.4y + 12.4y = 0.0 34.1 + 12.4y = -15.5 + 0.0 34.1 + 12.4y = -15.5 Add '-34.1' to each side of the equation. 34.1 + -34.1 + 12.4y = -15.5 + -34.1 Combine like terms: 34.1 + -34.1 = 0.0 0.0 + 12.4y = -15.5 + -34.1 12.4y = -15.5 + -34.1 Combine like terms: -15.5 + -34.1 = -49.6 12.4y = -49.6 Divide each side by '12.4'. y = -4 Simplifying y = -4
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