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Simplifying (3y + 1) = (6x + -13)(8x + -61) Reorder the terms: (1 + 3y) = (6x + -13)(8x + -61) Remove parenthesis around (1 + 3y) 1 + 3y = (6x + -13)(8x + -61) Reorder the terms: 1 + 3y = (-13 + 6x)(8x + -61) Reorder the terms: 1 + 3y = (-13 + 6x)(-61 + 8x) Multiply (-13 + 6x) * (-61 + 8x) 1 + 3y = (-13(-61 + 8x) + 6x * (-61 + 8x)) 1 + 3y = ((-61 * -13 + 8x * -13) + 6x * (-61 + 8x)) 1 + 3y = ((793 + -104x) + 6x * (-61 + 8x)) 1 + 3y = (793 + -104x + (-61 * 6x + 8x * 6x)) 1 + 3y = (793 + -104x + (-366x + 48x2)) Combine like terms: -104x + -366x = -470x 1 + 3y = (793 + -470x + 48x2) Solving 1 + 3y = 793 + -470x + 48x2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3y = 793 + -470x + -1 + 48x2 Combine like terms: 1 + -1 = 0 0 + 3y = 793 + -470x + -1 + 48x2 3y = 793 + -470x + -1 + 48x2 Reorder the terms: 3y = 793 + -1 + -470x + 48x2 Combine like terms: 793 + -1 = 792 3y = 792 + -470x + 48x2 Divide each side by '3'. y = 264 + -156.6666667x + 16x2 Simplifying y = 264 + -156.6666667x + 16x2
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