2(2y+6)+3y=5

Solution for 2(2y+6)+3y=5 equation:

Simplifying
2(2y + 6) + 3y = 5

Reorder the terms:
2(6 + 2y) + 3y = 5
(6 * 2 + 2y * 2) + 3y = 5
(12 + 4y) + 3y = 5

Combine like terms: 4y + 3y = 7y
12 + 7y = 5

Solving
12 + 7y = 5

Solving for variable 'y'.

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

Add '-12' to each side of the equation.
12 + -12 + 7y = 5 + -12

Combine like terms: 12 + -12 = 0
0 + 7y = 5 + -12
7y = 5 + -12

Combine like terms: 5 + -12 = -7
7y = -7

Divide each side by '7'.
y = -1

Simplifying
y = -1