2(5y+7)+6+3y=30

Solution for 2(5y+7)+6+3y=30 equation:

Simplifying
2(5y + 7) + 6 + 3y = 30

Reorder the terms:
2(7 + 5y) + 6 + 3y = 30
(7 * 2 + 5y * 2) + 6 + 3y = 30
(14 + 10y) + 6 + 3y = 30

Reorder the terms:
14 + 6 + 10y + 3y = 30

Combine like terms: 14 + 6 = 20
20 + 10y + 3y = 30

Combine like terms: 10y + 3y = 13y
20 + 13y = 30

Solving
20 + 13y = 30

Solving for variable 'y'.

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

Add '-20' to each side of the equation.
20 + -20 + 13y = 30 + -20

Combine like terms: 20 + -20 = 0
0 + 13y = 30 + -20
13y = 30 + -20

Combine like terms: 30 + -20 = 10
13y = 10

Divide each side by '13'.
y = 0.7692307692

Simplifying
y = 0.7692307692