(4y^2-6y+7)-(2y^2-6y+3)=

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Solution for (4y^2-6y+7)-(2y^2-6y+3)= equation:


Simplifying
(4y2 + -6y + 7) + -1(2y2 + -6y + 3) = 0

Reorder the terms:
(7 + -6y + 4y2) + -1(2y2 + -6y + 3) = 0

Remove parenthesis around (7 + -6y + 4y2)
7 + -6y + 4y2 + -1(2y2 + -6y + 3) = 0

Reorder the terms:
7 + -6y + 4y2 + -1(3 + -6y + 2y2) = 0
7 + -6y + 4y2 + (3 * -1 + -6y * -1 + 2y2 * -1) = 0
7 + -6y + 4y2 + (-3 + 6y + -2y2) = 0

Reorder the terms:
7 + -3 + -6y + 6y + 4y2 + -2y2 = 0

Combine like terms: 7 + -3 = 4
4 + -6y + 6y + 4y2 + -2y2 = 0

Combine like terms: -6y + 6y = 0
4 + 0 + 4y2 + -2y2 = 0
4 + 4y2 + -2y2 = 0

Combine like terms: 4y2 + -2y2 = 2y2
4 + 2y2 = 0

Solving
4 + 2y2 = 0

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 + 2y2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 2y2 = 0 + -4
2y2 = 0 + -4

Combine like terms: 0 + -4 = -4
2y2 = -4

Divide each side by '2'.
y2 = -2

Simplifying
y2 = -2

Reorder the terms:
2 + y2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + y2 = 0

The solution to this equation could not be determined.

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