(4y^2-7y+6)-(5y^2-7y+8)=0

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Solution for (4y^2-7y+6)-(5y^2-7y+8)=0 equation:


Simplifying
(4y2 + -7y + 6) + -1(5y2 + -7y + 8) = 0

Reorder the terms:
(6 + -7y + 4y2) + -1(5y2 + -7y + 8) = 0

Remove parenthesis around (6 + -7y + 4y2)
6 + -7y + 4y2 + -1(5y2 + -7y + 8) = 0

Reorder the terms:
6 + -7y + 4y2 + -1(8 + -7y + 5y2) = 0
6 + -7y + 4y2 + (8 * -1 + -7y * -1 + 5y2 * -1) = 0
6 + -7y + 4y2 + (-8 + 7y + -5y2) = 0

Reorder the terms:
6 + -8 + -7y + 7y + 4y2 + -5y2 = 0

Combine like terms: 6 + -8 = -2
-2 + -7y + 7y + 4y2 + -5y2 = 0

Combine like terms: -7y + 7y = 0
-2 + 0 + 4y2 + -5y2 = 0
-2 + 4y2 + -5y2 = 0

Combine like terms: 4y2 + -5y2 = -1y2
-2 + -1y2 = 0

Solving
-2 + -1y2 = 0

Solving for variable 'y'.

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

Add '2' to each side of the equation.
-2 + 2 + -1y2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1y2 = 0 + 2
-1y2 = 0 + 2

Combine like terms: 0 + 2 = 2
-1y2 = 2

Divide each side by '-1'.
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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