7y+y=7y+ny

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Solution for 7y+y=7y+ny equation: 


Simplifying
7y + y = 7y + ny

Combine like terms: 7y + y = 8y
8y = 7y + ny

Reorder the terms:
8y = ny + 7y

Solving
8y = ny + 7y

Solving for variable 'y'.

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

Add '-1ny' to each side of the equation.
-1ny + 8y = ny + -1ny + 7y

Combine like terms: ny + -1ny = 0
-1ny + 8y = 0 + 7y
-1ny + 8y = 7y

Add '-7y' to each side of the equation.
-1ny + 8y + -7y = 7y + -7y

Combine like terms: 8y + -7y = 1y
-1ny + 1y = 7y + -7y

Combine like terms: 7y + -7y = 0
-1ny + 1y = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-1n + 1) = 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 '(-1n + 1)' equal to zero and attempt to solve:

Simplifying
-1n + 1 = 0

Reorder the terms:
1 + -1n = 0

Solving
1 + -1n = 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 + -1n = 0 + -1

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

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

Add 'n' to each side of the equation.
-1n + n = -1 + n

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

Simplifying
0 = -1 + n

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
y = {0}

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