7y+(8+4y+15)+6+2(y)=55

Solution for 7y+(8+4y+15)+6+2(y)=55 equation:

Simplifying
7y + (8 + 4y + 15) + 6 + 2(y) = 55

Reorder the terms:
7y + (8 + 15 + 4y) + 6 + 2(y) = 55

Combine like terms: 8 + 15 = 23
7y + (23 + 4y) + 6 + 2(y) = 55

Remove parenthesis around (23 + 4y)
7y + 23 + 4y + 6 + 2(y) = 55

Reorder the terms:
23 + 6 + 7y + 4y + 2y = 55

Combine like terms: 23 + 6 = 29
29 + 7y + 4y + 2y = 55

Combine like terms: 7y + 4y = 11y
29 + 11y + 2y = 55

Combine like terms: 11y + 2y = 13y
29 + 13y = 55

Solving
29 + 13y = 55

Solving for variable 'y'.

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

Add '-29' to each side of the equation.
29 + -29 + 13y = 55 + -29

Combine like terms: 29 + -29 = 0
0 + 13y = 55 + -29
13y = 55 + -29

Combine like terms: 55 + -29 = 26
13y = 26

Divide each side by '13'.
y = 2

Simplifying
y = 2