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Simplifying 4(3g + -1y) + -1(g + -1y) = 0 (3g * 4 + -1y * 4) + -1(g + -1y) = 0 (12g + -4y) + -1(g + -1y) = 0 12g + -4y + (g * -1 + -1y * -1) = 0 12g + -4y + (-1g + 1y) = 0 Reorder the terms: 12g + -1g + -4y + 1y = 0 Combine like terms: 12g + -1g = 11g 11g + -4y + 1y = 0 Combine like terms: -4y + 1y = -3y 11g + -3y = 0 Solving 11g + -3y = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '3y' to each side of the equation. 11g + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 11g + 0 = 0 + 3y 11g = 0 + 3y Remove the zero: 11g = 3y Divide each side by '11'. g = 0.2727272727y Simplifying g = 0.2727272727y
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