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Simplifying 3y + 3(8 + 4g) = 1 + -1g 3y + (8 * 3 + 4g * 3) = 1 + -1g 3y + (24 + 12g) = 1 + -1g Reorder the terms: 24 + 12g + 3y = 1 + -1g Solving 24 + 12g + 3y = 1 + -1g Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add 'g' to each side of the equation. 24 + 12g + g + 3y = 1 + -1g + g Combine like terms: 12g + g = 13g 24 + 13g + 3y = 1 + -1g + g Combine like terms: -1g + g = 0 24 + 13g + 3y = 1 + 0 24 + 13g + 3y = 1 Add '-24' to each side of the equation. 24 + 13g + -24 + 3y = 1 + -24 Reorder the terms: 24 + -24 + 13g + 3y = 1 + -24 Combine like terms: 24 + -24 = 0 0 + 13g + 3y = 1 + -24 13g + 3y = 1 + -24 Combine like terms: 1 + -24 = -23 13g + 3y = -23 Add '-3y' to each side of the equation. 13g + 3y + -3y = -23 + -3y Combine like terms: 3y + -3y = 0 13g + 0 = -23 + -3y 13g = -23 + -3y Divide each side by '13'. g = -1.769230769 + -0.2307692308y Simplifying g = -1.769230769 + -0.2307692308y
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