7y-82=y-4

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Solution for 7y-82=y-4 equation:


Simplifying
7y + -82 = y + -4

Reorder the terms:
-82 + 7y = y + -4

Reorder the terms:
-82 + 7y = -4 + y

Solving
-82 + 7y = -4 + 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.
-82 + 7y + -1y = -4 + y + -1y

Combine like terms: 7y + -1y = 6y
-82 + 6y = -4 + y + -1y

Combine like terms: y + -1y = 0
-82 + 6y = -4 + 0
-82 + 6y = -4

Add '82' to each side of the equation.
-82 + 82 + 6y = -4 + 82

Combine like terms: -82 + 82 = 0
0 + 6y = -4 + 82
6y = -4 + 82

Combine like terms: -4 + 82 = 78
6y = 78

Divide each side by '6'.
y = 13

Simplifying
y = 13

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