37=5-3(y-6)

Solution for 37=5-3(y-6) equation:

Simplifying
37 = 5 + -3(y + -6)

Reorder the terms:
37 = 5 + -3(-6 + y)
37 = 5 + (-6 * -3 + y * -3)
37 = 5 + (18 + -3y)

Combine like terms: 5 + 18 = 23
37 = 23 + -3y

Solving
37 = 23 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
37 + 3y = 23 + -3y + 3y

Combine like terms: -3y + 3y = 0
37 + 3y = 23 + 0
37 + 3y = 23

Add '-37' to each side of the equation.
37 + -37 + 3y = 23 + -37

Combine like terms: 37 + -37 = 0
0 + 3y = 23 + -37
3y = 23 + -37

Combine like terms: 23 + -37 = -14
3y = -14

Divide each side by '3'.
y = -4.666666667

Simplifying
y = -4.666666667