y(y-1)=6y

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Solution for y(y-1)=6y equation: 


Simplifying
y(y + -1) = 6y

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

Solving
-1y + y2 = 6y

Solving for variable 'y'.

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

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

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

Factor out the Greatest Common Factor (GCF), 'y'.
y(-7 + 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 '(-7 + y)' equal to zero and attempt to solve:

Simplifying
-7 + y = 0

Solving
-7 + y = 0

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

Add '7' to each side of the equation.
-7 + 7 + y = 0 + 7

Combine like terms: -7 + 7 = 0
0 + y = 0 + 7
y = 0 + 7

Combine like terms: 0 + 7 = 7
y = 7

Simplifying
y = 7
Solution
y = {0, 7}

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