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Simplifying 3x = (8y + -102)(2y + 6) Reorder the terms: 3x = (-102 + 8y)(2y + 6) Reorder the terms: 3x = (-102 + 8y)(6 + 2y) Multiply (-102 + 8y) * (6 + 2y) 3x = (-102(6 + 2y) + 8y * (6 + 2y)) 3x = ((6 * -102 + 2y * -102) + 8y * (6 + 2y)) 3x = ((-612 + -204y) + 8y * (6 + 2y)) 3x = (-612 + -204y + (6 * 8y + 2y * 8y)) 3x = (-612 + -204y + (48y + 16y2)) Combine like terms: -204y + 48y = -156y 3x = (-612 + -156y + 16y2) Solving 3x = -612 + -156y + 16y2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '3'. x = -204 + -52y + 5.333333333y2 Simplifying x = -204 + -52y + 5.333333333y2
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