3(y+9)=-2y+37

Solution for 3(y+9)=-2y+37 equation:

Simplifying
3(y + 9) = -2y + 37

Reorder the terms:
3(9 + y) = -2y + 37
(9 * 3 + y * 3) = -2y + 37
(27 + 3y) = -2y + 37

Reorder the terms:
27 + 3y = 37 + -2y

Solving
27 + 3y = 37 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
27 + 3y + 2y = 37 + -2y + 2y

Combine like terms: 3y + 2y = 5y
27 + 5y = 37 + -2y + 2y

Combine like terms: -2y + 2y = 0
27 + 5y = 37 + 0
27 + 5y = 37

Add '-27' to each side of the equation.
27 + -27 + 5y = 37 + -27

Combine like terms: 27 + -27 = 0
0 + 5y = 37 + -27
5y = 37 + -27

Combine like terms: 37 + -27 = 10
5y = 10

Divide each side by '5'.
y = 2

Simplifying
y = 2