7y-41=y-5

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Solution for 7y-41=y-5 equation:


Simplifying
7y + -41 = y + -5

Reorder the terms:
-41 + 7y = y + -5

Reorder the terms:
-41 + 7y = -5 + y

Solving
-41 + 7y = -5 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-41 + 7y + -1y = -5 + y + -1y

Combine like terms: 7y + -1y = 6y
-41 + 6y = -5 + y + -1y

Combine like terms: y + -1y = 0
-41 + 6y = -5 + 0
-41 + 6y = -5

Add '41' to each side of the equation.
-41 + 41 + 6y = -5 + 41

Combine like terms: -41 + 41 = 0
0 + 6y = -5 + 41
6y = -5 + 41

Combine like terms: -5 + 41 = 36
6y = 36

Divide each side by '6'.
y = 6

Simplifying
y = 6

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