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Simplifying 3(4g + 6) = 6(2y + 1) Reorder the terms: 3(6 + 4g) = 6(2y + 1) (6 * 3 + 4g * 3) = 6(2y + 1) (18 + 12g) = 6(2y + 1) Reorder the terms: 18 + 12g = 6(1 + 2y) 18 + 12g = (1 * 6 + 2y * 6) 18 + 12g = (6 + 12y) Solving 18 + 12g = 6 + 12y Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 12g = 6 + -18 + 12y Combine like terms: 18 + -18 = 0 0 + 12g = 6 + -18 + 12y 12g = 6 + -18 + 12y Combine like terms: 6 + -18 = -12 12g = -12 + 12y Divide each side by '12'. g = -1 + y Simplifying g = -1 + y
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