(2y^2-10y+44)=(y^2-14y+49)

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Solution for (2y^2-10y+44)=(y^2-14y+49) equation: 


Simplifying
(2y2 + -10y + 44) = (y2 + -14y + 49)

Reorder the terms:
(44 + -10y + 2y2) = (y2 + -14y + 49)

Remove parenthesis around (44 + -10y + 2y2)
44 + -10y + 2y2 = (y2 + -14y + 49)

Reorder the terms:
44 + -10y + 2y2 = (49 + -14y + y2)

Remove parenthesis around (49 + -14y + y2)
44 + -10y + 2y2 = 49 + -14y + y2

Solving
44 + -10y + 2y2 = 49 + -14y + y2

Solving for variable 'y'.

Reorder the terms:
44 + -49 + -10y + 14y + 2y2 + -1y2 = 49 + -14y + y2 + -49 + 14y + -1y2

Combine like terms: 44 + -49 = -5
-5 + -10y + 14y + 2y2 + -1y2 = 49 + -14y + y2 + -49 + 14y + -1y2

Combine like terms: -10y + 14y = 4y
-5 + 4y + 2y2 + -1y2 = 49 + -14y + y2 + -49 + 14y + -1y2

Combine like terms: 2y2 + -1y2 = 1y2
-5 + 4y + 1y2 = 49 + -14y + y2 + -49 + 14y + -1y2

Reorder the terms:
-5 + 4y + 1y2 = 49 + -49 + -14y + 14y + y2 + -1y2

Combine like terms: 49 + -49 = 0
-5 + 4y + 1y2 = 0 + -14y + 14y + y2 + -1y2
-5 + 4y + 1y2 = -14y + 14y + y2 + -1y2

Combine like terms: -14y + 14y = 0
-5 + 4y + 1y2 = 0 + y2 + -1y2
-5 + 4y + 1y2 = y2 + -1y2

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

Factor a trinomial.
(-5 + -1y)(1 + -1y) = 0


Subproblem 1
Set the factor '(-5 + -1y)' equal to zero and attempt to solve:

Simplifying
-5 + -1y = 0

Solving
-5 + -1y = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1y = 0 + 5
-1y = 0 + 5

Combine like terms: 0 + 5 = 5
-1y = 5

Divide each side by '-1'.
y = -5

Simplifying
y = -5

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

Simplifying
1 + -1y = 0

Solving
1 + -1y = 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 + -1y = 0 + -1

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

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

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

Simplifying
y = 1
Solution
y = {-5, 1}

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