2(y-23)+3(y-4)=37

Solution for 2(y-23)+3(y-4)=37 equation:

Simplifying
2(y + -23) + 3(y + -4) = 37

Reorder the terms:
2(-23 + y) + 3(y + -4) = 37
(-23 * 2 + y * 2) + 3(y + -4) = 37
(-46 + 2y) + 3(y + -4) = 37

Reorder the terms:
-46 + 2y + 3(-4 + y) = 37
-46 + 2y + (-4 * 3 + y * 3) = 37
-46 + 2y + (-12 + 3y) = 37

Reorder the terms:
-46 + -12 + 2y + 3y = 37

Combine like terms: -46 + -12 = -58
-58 + 2y + 3y = 37

Combine like terms: 2y + 3y = 5y
-58 + 5y = 37

Solving
-58 + 5y = 37

Solving for variable 'y'.

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

Add '58' to each side of the equation.
-58 + 58 + 5y = 37 + 58

Combine like terms: -58 + 58 = 0
0 + 5y = 37 + 58
5y = 37 + 58

Combine like terms: 37 + 58 = 95
5y = 95

Divide each side by '5'.
y = 19

Simplifying
y = 19