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Simplifying y + 2.4y + 3.2 = 6.5(y + -3.8) Reorder the terms: 3.2 + y + 2.4y = 6.5(y + -3.8) Combine like terms: y + 2.4y = 3.4y 3.2 + 3.4y = 6.5(y + -3.8) Reorder the terms: 3.2 + 3.4y = 6.5(-3.8 + y) 3.2 + 3.4y = (-3.8 * 6.5 + y * 6.5) 3.2 + 3.4y = (-24.7 + 6.5y) Solving 3.2 + 3.4y = -24.7 + 6.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6.5y' to each side of the equation. 3.2 + 3.4y + -6.5y = -24.7 + 6.5y + -6.5y Combine like terms: 3.4y + -6.5y = -3.1y 3.2 + -3.1y = -24.7 + 6.5y + -6.5y Combine like terms: 6.5y + -6.5y = 0.0 3.2 + -3.1y = -24.7 + 0.0 3.2 + -3.1y = -24.7 Add '-3.2' to each side of the equation. 3.2 + -3.2 + -3.1y = -24.7 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + -3.1y = -24.7 + -3.2 -3.1y = -24.7 + -3.2 Combine like terms: -24.7 + -3.2 = -27.9 -3.1y = -27.9 Divide each side by '-3.1'. y = 9 Simplifying y = 9
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