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

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


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

Reorder the terms:
2y(4 + 3y) = 4(2y + -2)
(4 * 2y + 3y * 2y) = 4(2y + -2)
(8y + 6y2) = 4(2y + -2)

Reorder the terms:
8y + 6y2 = 4(-2 + 2y)
8y + 6y2 = (-2 * 4 + 2y * 4)
8y + 6y2 = (-8 + 8y)

Add '-8y' to each side of the equation.
8y + -8y + 6y2 = -8 + 8y + -8y

Combine like terms: 8y + -8y = 0
0 + 6y2 = -8 + 8y + -8y
6y2 = -8 + 8y + -8y

Combine like terms: 8y + -8y = 0
6y2 = -8 + 0
6y2 = -8

Solving
6y2 = -8

Solving for variable 'y'.

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

Divide each side by '6'.
y2 = -1.333333333

Simplifying
y2 = -1.333333333

Reorder the terms:
1.333333333 + y2 = -1.333333333 + 1.333333333

Combine like terms: -1.333333333 + 1.333333333 = 0.000000000
1.333333333 + y2 = 0.000000000

The solution to this equation could not be determined.

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