2y+3(y+2)=26

Solution for 2y+3(y+2)=26 equation:

Simplifying
2y + 3(y + 2) = 26

Reorder the terms:
2y + 3(2 + y) = 26
2y + (2 * 3 + y * 3) = 26
2y + (6 + 3y) = 26

Reorder the terms:
6 + 2y + 3y = 26

Combine like terms: 2y + 3y = 5y
6 + 5y = 26

Solving
6 + 5y = 26

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 + 5y = 26 + -6

Combine like terms: 6 + -6 = 0
0 + 5y = 26 + -6
5y = 26 + -6

Combine like terms: 26 + -6 = 20
5y = 20

Divide each side by '5'.
y = 4

Simplifying
y = 4