7y-6=13y+6

Solution for 7y-6=13y+6 equation:

Simplifying
7y + -6 = 13y + 6

Reorder the terms:
-6 + 7y = 13y + 6

Reorder the terms:
-6 + 7y = 6 + 13y

Solving
-6 + 7y = 6 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
-6 + 7y + -13y = 6 + 13y + -13y

Combine like terms: 7y + -13y = -6y
-6 + -6y = 6 + 13y + -13y

Combine like terms: 13y + -13y = 0
-6 + -6y = 6 + 0
-6 + -6y = 6

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

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

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

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

Simplifying
y = -2