4y^2+11y+8=3y^2+22y-10

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Solution for 4y^2+11y+8=3y^2+22y-10 equation: 


Simplifying
4y2 + 11y + 8 = 3y2 + 22y + -10

Reorder the terms:
8 + 11y + 4y2 = 3y2 + 22y + -10

Reorder the terms:
8 + 11y + 4y2 = -10 + 22y + 3y2

Solving
8 + 11y + 4y2 = -10 + 22y + 3y2

Solving for variable 'y'.

Reorder the terms:
8 + 10 + 11y + -22y + 4y2 + -3y2 = -10 + 22y + 3y2 + 10 + -22y + -3y2

Combine like terms: 8 + 10 = 18
18 + 11y + -22y + 4y2 + -3y2 = -10 + 22y + 3y2 + 10 + -22y + -3y2

Combine like terms: 11y + -22y = -11y
18 + -11y + 4y2 + -3y2 = -10 + 22y + 3y2 + 10 + -22y + -3y2

Combine like terms: 4y2 + -3y2 = 1y2
18 + -11y + 1y2 = -10 + 22y + 3y2 + 10 + -22y + -3y2

Reorder the terms:
18 + -11y + 1y2 = -10 + 10 + 22y + -22y + 3y2 + -3y2

Combine like terms: -10 + 10 = 0
18 + -11y + 1y2 = 0 + 22y + -22y + 3y2 + -3y2
18 + -11y + 1y2 = 22y + -22y + 3y2 + -3y2

Combine like terms: 22y + -22y = 0
18 + -11y + 1y2 = 0 + 3y2 + -3y2
18 + -11y + 1y2 = 3y2 + -3y2

Combine like terms: 3y2 + -3y2 = 0
18 + -11y + 1y2 = 0

Factor a trinomial.
(2 + -1y)(9 + -1y) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(9 + -1y)' equal to zero and attempt to solve:

Simplifying
9 + -1y = 0

Solving
9 + -1y = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1y = 0 + -9
-1y = 0 + -9

Combine like terms: 0 + -9 = -9
-1y = -9

Divide each side by '-1'.
y = 9

Simplifying
y = 9
Solution
y = {2, 9}

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