2(y+1)+2(y+5)=30

Solution for 2(y+1)+2(y+5)=30 equation:

Simplifying
2(y + 1) + 2(y + 5) = 30

Reorder the terms:
2(1 + y) + 2(y + 5) = 30
(1 * 2 + y * 2) + 2(y + 5) = 30
(2 + 2y) + 2(y + 5) = 30

Reorder the terms:
2 + 2y + 2(5 + y) = 30
2 + 2y + (5 * 2 + y * 2) = 30
2 + 2y + (10 + 2y) = 30

Reorder the terms:
2 + 10 + 2y + 2y = 30

Combine like terms: 2 + 10 = 12
12 + 2y + 2y = 30

Combine like terms: 2y + 2y = 4y
12 + 4y = 30

Solving
12 + 4y = 30

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 + 4y = 30 + -12

Combine like terms: 12 + -12 = 0
0 + 4y = 30 + -12
4y = 30 + -12

Combine like terms: 30 + -12 = 18
4y = 18

Divide each side by '4'.
y = 4.5

Simplifying
y = 4.5