2y+6=y+13

Solution for 2y+6=y+13 equation:

Simplifying
2y + 6 = y + 13

Reorder the terms:
6 + 2y = y + 13

Reorder the terms:
6 + 2y = 13 + y

Solving
6 + 2y = 13 + 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.
6 + 2y + -1y = 13 + y + -1y

Combine like terms: 2y + -1y = 1y
6 + 1y = 13 + y + -1y

Combine like terms: y + -1y = 0
6 + 1y = 13 + 0
6 + 1y = 13

Add '-6' to each side of the equation.
6 + -6 + 1y = 13 + -6

Combine like terms: 6 + -6 = 0
0 + 1y = 13 + -6
1y = 13 + -6

Combine like terms: 13 + -6 = 7
1y = 7

Divide each side by '1'.
y = 7

Simplifying
y = 7