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

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

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

Reorder the terms:
2(1 + 2y) + 5(y + 2) = 30
(1 * 2 + 2y * 2) + 5(y + 2) = 30
(2 + 4y) + 5(y + 2) = 30

Reorder the terms:
2 + 4y + 5(2 + y) = 30
2 + 4y + (2 * 5 + y * 5) = 30
2 + 4y + (10 + 5y) = 30

Reorder the terms:
2 + 10 + 4y + 5y = 30

Combine like terms: 2 + 10 = 12
12 + 4y + 5y = 30

Combine like terms: 4y + 5y = 9y
12 + 9y = 30

Solving
12 + 9y = 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 + 9y = 30 + -12

Combine like terms: 12 + -12 = 0
0 + 9y = 30 + -12
9y = 30 + -12

Combine like terms: 30 + -12 = 18
9y = 18

Divide each side by '9'.
y = 2

Simplifying
y = 2