6y+2(3+6.5y)=2.5+15.5y

Solution for 6y+2(3+6.5y)=2.5+15.5y equation:

Simplifying
6y + 2(3 + 6.5y) = 2.5 + 15.5y
6y + (3 * 2 + 6.5y * 2) = 2.5 + 15.5y
6y + (6 + 13y) = 2.5 + 15.5y

Reorder the terms:
6 + 6y + 13y = 2.5 + 15.5y

Combine like terms: 6y + 13y = 19y
6 + 19y = 2.5 + 15.5y

Solving
6 + 19y = 2.5 + 15.5y

Solving for variable 'y'.

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

Add '-15.5y' to each side of the equation.
6 + 19y + -15.5y = 2.5 + 15.5y + -15.5y

Combine like terms: 19y + -15.5y = 3.5y
6 + 3.5y = 2.5 + 15.5y + -15.5y

Combine like terms: 15.5y + -15.5y = 0.0
6 + 3.5y = 2.5 + 0.0
6 + 3.5y = 2.5

Add '-6' to each side of the equation.
6 + -6 + 3.5y = 2.5 + -6

Combine like terms: 6 + -6 = 0
0 + 3.5y = 2.5 + -6
3.5y = 2.5 + -6

Combine like terms: 2.5 + -6 = -3.5
3.5y = -3.5

Divide each side by '3.5'.
y = -1

Simplifying
y = -1