10y-82=-y+72

Solution for 10y-82=-y+72 equation:

Simplifying
10y + -82 = -1y + 72

Reorder the terms:
-82 + 10y = -1y + 72

Reorder the terms:
-82 + 10y = 72 + -1y

Solving
-82 + 10y = 72 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-82 + 10y + y = 72 + -1y + y

Combine like terms: 10y + y = 11y
-82 + 11y = 72 + -1y + y

Combine like terms: -1y + y = 0
-82 + 11y = 72 + 0
-82 + 11y = 72

Add '82' to each side of the equation.
-82 + 82 + 11y = 72 + 82

Combine like terms: -82 + 82 = 0
0 + 11y = 72 + 82
11y = 72 + 82

Combine like terms: 72 + 82 = 154
11y = 154

Divide each side by '11'.
y = 14

Simplifying
y = 14