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Simplifying 5g + 4(-5 + 3y) = 1 + -1g 5g + (-5 * 4 + 3y * 4) = 1 + -1g 5g + (-20 + 12y) = 1 + -1g Reorder the terms: -20 + 5g + 12y = 1 + -1g Solving -20 + 5g + 12y = 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. -20 + 5g + g + 12y = 1 + -1g + g Combine like terms: 5g + g = 6g -20 + 6g + 12y = 1 + -1g + g Combine like terms: -1g + g = 0 -20 + 6g + 12y = 1 + 0 -20 + 6g + 12y = 1 Add '20' to each side of the equation. -20 + 6g + 20 + 12y = 1 + 20 Reorder the terms: -20 + 20 + 6g + 12y = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 6g + 12y = 1 + 20 6g + 12y = 1 + 20 Combine like terms: 1 + 20 = 21 6g + 12y = 21 Add '-12y' to each side of the equation. 6g + 12y + -12y = 21 + -12y Combine like terms: 12y + -12y = 0 6g + 0 = 21 + -12y 6g = 21 + -12y Divide each side by '6'. g = 3.5 + -2y Simplifying g = 3.5 + -2y
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