(6y^2-7y+8)-(3y^2-7y+4)=

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Solution for (6y^2-7y+8)-(3y^2-7y+4)= equation:


Simplifying
(6y2 + -7y + 8) + -1(3y2 + -7y + 4) = 0

Reorder the terms:
(8 + -7y + 6y2) + -1(3y2 + -7y + 4) = 0

Remove parenthesis around (8 + -7y + 6y2)
8 + -7y + 6y2 + -1(3y2 + -7y + 4) = 0

Reorder the terms:
8 + -7y + 6y2 + -1(4 + -7y + 3y2) = 0
8 + -7y + 6y2 + (4 * -1 + -7y * -1 + 3y2 * -1) = 0
8 + -7y + 6y2 + (-4 + 7y + -3y2) = 0

Reorder the terms:
8 + -4 + -7y + 7y + 6y2 + -3y2 = 0

Combine like terms: 8 + -4 = 4
4 + -7y + 7y + 6y2 + -3y2 = 0

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

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

Solving
4 + 3y2 = 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 + 3y2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3y2 = 0 + -4
3y2 = 0 + -4

Combine like terms: 0 + -4 = -4
3y2 = -4

Divide each side by '3'.
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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