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Simplifying 3y + 4(-8 + 5g) = 1 + -1g 3y + (-8 * 4 + 5g * 4) = 1 + -1g 3y + (-32 + 20g) = 1 + -1g Reorder the terms: -32 + 20g + 3y = 1 + -1g Solving -32 + 20g + 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. -32 + 20g + g + 3y = 1 + -1g + g Combine like terms: 20g + g = 21g -32 + 21g + 3y = 1 + -1g + g Combine like terms: -1g + g = 0 -32 + 21g + 3y = 1 + 0 -32 + 21g + 3y = 1 Add '32' to each side of the equation. -32 + 21g + 32 + 3y = 1 + 32 Reorder the terms: -32 + 32 + 21g + 3y = 1 + 32 Combine like terms: -32 + 32 = 0 0 + 21g + 3y = 1 + 32 21g + 3y = 1 + 32 Combine like terms: 1 + 32 = 33 21g + 3y = 33 Add '-3y' to each side of the equation. 21g + 3y + -3y = 33 + -3y Combine like terms: 3y + -3y = 0 21g + 0 = 33 + -3y 21g = 33 + -3y Divide each side by '21'. g = 1.571428571 + -0.1428571429y Simplifying g = 1.571428571 + -0.1428571429y
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