(3y+1)=(6x-13)(8x-61)

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Solution for (3y+1)=(6x-13)(8x-61) equation:


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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