5y-6=16y+82

Solution for 5y-6=16y+82 equation:

Simplifying
5y + -6 = 16y + 82

Reorder the terms:
-6 + 5y = 16y + 82

Reorder the terms:
-6 + 5y = 82 + 16y

Solving
-6 + 5y = 82 + 16y

Solving for variable 'y'.

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

Add '-16y' to each side of the equation.
-6 + 5y + -16y = 82 + 16y + -16y

Combine like terms: 5y + -16y = -11y
-6 + -11y = 82 + 16y + -16y

Combine like terms: 16y + -16y = 0
-6 + -11y = 82 + 0
-6 + -11y = 82

Add '6' to each side of the equation.
-6 + 6 + -11y = 82 + 6

Combine like terms: -6 + 6 = 0
0 + -11y = 82 + 6
-11y = 82 + 6

Combine like terms: 82 + 6 = 88
-11y = 88

Divide each side by '-11'.
y = -8

Simplifying
y = -8