3y+5+y+7y-11+y=78

Solution for 3y+5+y+7y-11+y=78 equation:

Simplifying
3y + 5 + y + 7y + -11 + y = 78

Reorder the terms:
5 + -11 + 3y + y + 7y + y = 78

Combine like terms: 5 + -11 = -6
-6 + 3y + y + 7y + y = 78

Combine like terms: 3y + y = 4y
-6 + 4y + 7y + y = 78

Combine like terms: 4y + 7y = 11y
-6 + 11y + y = 78

Combine like terms: 11y + y = 12y
-6 + 12y = 78

Solving
-6 + 12y = 78

Solving for variable 'y'.

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

Add '6' to each side of the equation.
-6 + 6 + 12y = 78 + 6

Combine like terms: -6 + 6 = 0
0 + 12y = 78 + 6
12y = 78 + 6

Combine like terms: 78 + 6 = 84
12y = 84

Divide each side by '12'.
y = 7

Simplifying
y = 7