6y+2(y+3)=30

Solution for 6y+2(y+3)=30 equation:

Simplifying
6y + 2(y + 3) = 30

Reorder the terms:
6y + 2(3 + y) = 30
6y + (3 * 2 + y * 2) = 30
6y + (6 + 2y) = 30

Reorder the terms:
6 + 6y + 2y = 30

Combine like terms: 6y + 2y = 8y
6 + 8y = 30

Solving
6 + 8y = 30

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 + 8y = 30 + -6

Combine like terms: 6 + -6 = 0
0 + 8y = 30 + -6
8y = 30 + -6

Combine like terms: 30 + -6 = 24
8y = 24

Divide each side by '8'.
y = 3

Simplifying
y = 3