2y-4=3x(2-x)-2

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Solution for 2y-4=3x(2-x)-2 equation:


Simplifying
2y + -4 = 3x(2 + -1x) + -2

Reorder the terms:
-4 + 2y = 3x(2 + -1x) + -2
-4 + 2y = (2 * 3x + -1x * 3x) + -2
-4 + 2y = (6x + -3x2) + -2

Reorder the terms:
-4 + 2y = -2 + 6x + -3x2

Solving
-4 + 2y = -2 + 6x + -3x2

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + 2y = -2 + 6x + 4 + -3x2

Combine like terms: -4 + 4 = 0
0 + 2y = -2 + 6x + 4 + -3x2
2y = -2 + 6x + 4 + -3x2

Reorder the terms:
2y = -2 + 4 + 6x + -3x2

Combine like terms: -2 + 4 = 2
2y = 2 + 6x + -3x2

Divide each side by '2'.
y = 1 + 3x + -1.5x2

Simplifying
y = 1 + 3x + -1.5x2

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