3y-6=5y+6

Solution for 3y-6=5y+6 equation:

Simplifying
3y + -6 = 5y + 6

Reorder the terms:
-6 + 3y = 5y + 6

Reorder the terms:
-6 + 3y = 6 + 5y

Solving
-6 + 3y = 6 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-6 + 3y + -5y = 6 + 5y + -5y

Combine like terms: 3y + -5y = -2y
-6 + -2y = 6 + 5y + -5y

Combine like terms: 5y + -5y = 0
-6 + -2y = 6 + 0
-6 + -2y = 6

Add '6' to each side of the equation.
-6 + 6 + -2y = 6 + 6

Combine like terms: -6 + 6 = 0
0 + -2y = 6 + 6
-2y = 6 + 6

Combine like terms: 6 + 6 = 12
-2y = 12

Divide each side by '-2'.
y = -6

Simplifying
y = -6