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Simplifying 12y + -3y + -7g + 5g + -6 = 0 Reorder the terms: -6 + -7g + 5g + 12y + -3y = 0 Combine like terms: -7g + 5g = -2g -6 + -2g + 12y + -3y = 0 Combine like terms: 12y + -3y = 9y -6 + -2g + 9y = 0 Solving -6 + -2g + 9y = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -2g + 6 + 9y = 0 + 6 Reorder the terms: -6 + 6 + -2g + 9y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -2g + 9y = 0 + 6 -2g + 9y = 0 + 6 Combine like terms: 0 + 6 = 6 -2g + 9y = 6 Add '-9y' to each side of the equation. -2g + 9y + -9y = 6 + -9y Combine like terms: 9y + -9y = 0 -2g + 0 = 6 + -9y -2g = 6 + -9y Divide each side by '-2'. g = -3 + 4.5y Simplifying g = -3 + 4.5y
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