2y-(-3-5y)=(y+2)+37

Solution for 2y-(-3-5y)=(y+2)+37 equation:

Simplifying
2y + -1(-3 + -5y) = (y + 2) + 37
2y + (-3 * -1 + -5y * -1) = (y + 2) + 37
2y + (3 + 5y) = (y + 2) + 37

Reorder the terms:
3 + 2y + 5y = (y + 2) + 37

Combine like terms: 2y + 5y = 7y
3 + 7y = (y + 2) + 37

Reorder the terms:
3 + 7y = (2 + y) + 37

Remove parenthesis around (2 + y)
3 + 7y = 2 + y + 37

Reorder the terms:
3 + 7y = 2 + 37 + y

Combine like terms: 2 + 37 = 39
3 + 7y = 39 + y

Solving
3 + 7y = 39 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
3 + 7y + -1y = 39 + y + -1y

Combine like terms: 7y + -1y = 6y
3 + 6y = 39 + y + -1y

Combine like terms: y + -1y = 0
3 + 6y = 39 + 0
3 + 6y = 39

Add '-3' to each side of the equation.
3 + -3 + 6y = 39 + -3

Combine like terms: 3 + -3 = 0
0 + 6y = 39 + -3
6y = 39 + -3

Combine like terms: 39 + -3 = 36
6y = 36

Divide each side by '6'.
y = 6

Simplifying
y = 6