(2y+78)=5y

Solution for (2y+78)=5y equation:

Simplifying
(2y + 78) = 5y

Reorder the terms:
(78 + 2y) = 5y

Remove parenthesis around (78 + 2y)
78 + 2y = 5y

Solving
78 + 2y = 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.
78 + 2y + -5y = 5y + -5y

Combine like terms: 2y + -5y = -3y
78 + -3y = 5y + -5y

Combine like terms: 5y + -5y = 0
78 + -3y = 0

Add '-78' to each side of the equation.
78 + -78 + -3y = 0 + -78

Combine like terms: 78 + -78 = 0
0 + -3y = 0 + -78
-3y = 0 + -78

Combine like terms: 0 + -78 = -78
-3y = -78

Divide each side by '-3'.
y = 26

Simplifying
y = 26