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

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


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

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

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

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

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

Combine like terms: 8 + -7 = 1
1 + -6y + 6y + 7y2 + -3y2 = 0

Combine like terms: -6y + 6y = 0
1 + 0 + 7y2 + -3y2 = 0
1 + 7y2 + -3y2 = 0

Combine like terms: 7y2 + -3y2 = 4y2
1 + 4y2 = 0

Solving
1 + 4y2 = 0

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 + 4y2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4y2 = 0 + -1
4y2 = 0 + -1

Combine like terms: 0 + -1 = -1
4y2 = -1

Divide each side by '4'.
y2 = -0.25

Simplifying
y2 = -0.25

Reorder the terms:
0.25 + y2 = -0.25 + 0.25

Combine like terms: -0.25 + 0.25 = 0.00
0.25 + y2 = 0.00

The solution to this equation could not be determined.

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