36+2y=[(2y+6)+(3y+4)]*2

Solution for 36+2y=[(2y+6)+(3y+4)]*2 equation:

Simplifying
36 + 2y = [(2y + 6) + (3y + 4)] * 2

Reorder the terms:
36 + 2y = [(6 + 2y) + (3y + 4)] * 2

Remove parenthesis around (6 + 2y)
36 + 2y = [6 + 2y + (3y + 4)] * 2

Reorder the terms:
36 + 2y = [6 + 2y + (4 + 3y)] * 2

Remove parenthesis around (4 + 3y)
36 + 2y = [6 + 2y + 4 + 3y] * 2

Reorder the terms:
36 + 2y = [6 + 4 + 2y + 3y] * 2

Combine like terms: 6 + 4 = 10
36 + 2y = [10 + 2y + 3y] * 2

Combine like terms: 2y + 3y = 5y
36 + 2y = [10 + 5y] * 2

Reorder the terms for easier multiplication:
36 + 2y = 2[10 + 5y]
36 + 2y = [10 * 2 + 5y * 2]
36 + 2y = [20 + 10y]

Solving
36 + 2y = 20 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
36 + 2y + -10y = 20 + 10y + -10y

Combine like terms: 2y + -10y = -8y
36 + -8y = 20 + 10y + -10y

Combine like terms: 10y + -10y = 0
36 + -8y = 20 + 0
36 + -8y = 20

Add '-36' to each side of the equation.
36 + -36 + -8y = 20 + -36

Combine like terms: 36 + -36 = 0
0 + -8y = 20 + -36
-8y = 20 + -36

Combine like terms: 20 + -36 = -16
-8y = -16

Divide each side by '-8'.
y = 2

Simplifying
y = 2