2y^2-35y-7y=y^2-5y

Solution for 2y^2-35y-7y=y^2-5y equation:

Simplifying
2y2 + -35y + -7y = y2 + -5y

Reorder the terms:
-35y + -7y + 2y2 = y2 + -5y

Combine like terms: -35y + -7y = -42y
-42y + 2y2 = y2 + -5y

Reorder the terms:
-42y + 2y2 = -5y + y2

Solving
-42y + 2y2 = -5y + y2

Solving for variable 'y'.

Reorder the terms:
-42y + 5y + 2y2 + -1y2 = -5y + y2 + 5y + -1y2

Combine like terms: -42y + 5y = -37y
-37y + 2y2 + -1y2 = -5y + y2 + 5y + -1y2

Combine like terms: 2y2 + -1y2 = 1y2
-37y + 1y2 = -5y + y2 + 5y + -1y2

Reorder the terms:
-37y + 1y2 = -5y + 5y + y2 + -1y2

Combine like terms: -5y + 5y = 0
-37y + 1y2 = 0 + y2 + -1y2
-37y + 1y2 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-37y + 1y2 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-37 + y) = 0

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0
Subproblem 2
Set the factor '(-37 + y)' equal to zero and attempt to solve:

Simplifying
-37 + y = 0

Solving
-37 + y = 0

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

Add '37' to each side of the equation.
-37 + 37 + y = 0 + 37

Combine like terms: -37 + 37 = 0
0 + y = 0 + 37
y = 0 + 37

Combine like terms: 0 + 37 = 37
y = 37

Simplifying
y = 37
Solution
y = {0, 37}