(2y^2-y+2)-(-y^2+6y)=

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

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

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

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

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

Reorder the terms:
2 + -1y + -6y + 2y2 + 1y2 = 0

Combine like terms: -1y + -6y = -7y
2 + -7y + 2y2 + 1y2 = 0

Combine like terms: 2y2 + 1y2 = 3y2
2 + -7y + 3y2 = 0

Solving
2 + -7y + 3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + -3y)(2 + -1y) = 0

Subproblem 1
Set the factor '(1 + -3y)' equal to zero and attempt to solve:

Simplifying
1 + -3y = 0

Solving
1 + -3y = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3y = 0 + -1
-3y = 0 + -1

Combine like terms: 0 + -1 = -1
-3y = -1

Divide each side by '-3'.
y = 0.3333333333

Simplifying
y = 0.3333333333
Subproblem 2
Set the factor '(2 + -1y)' equal to zero and attempt to solve:

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

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

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

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

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

Divide each side by '-1'.
y = 2

Simplifying
y = 2
Solution
y = {0.3333333333, 2}