2(y-1)+3(y-2)=-23

Solution for 2(y-1)+3(y-2)=-23 equation:

Simplifying
2(y + -1) + 3(y + -2) = -23

Reorder the terms:
2(-1 + y) + 3(y + -2) = -23
(-1 * 2 + y * 2) + 3(y + -2) = -23
(-2 + 2y) + 3(y + -2) = -23

Reorder the terms:
-2 + 2y + 3(-2 + y) = -23
-2 + 2y + (-2 * 3 + y * 3) = -23
-2 + 2y + (-6 + 3y) = -23

Reorder the terms:
-2 + -6 + 2y + 3y = -23

Combine like terms: -2 + -6 = -8
-8 + 2y + 3y = -23

Combine like terms: 2y + 3y = 5y
-8 + 5y = -23

Solving
-8 + 5y = -23

Solving for variable 'y'.

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

Add '8' to each side of the equation.
-8 + 8 + 5y = -23 + 8

Combine like terms: -8 + 8 = 0
0 + 5y = -23 + 8
5y = -23 + 8

Combine like terms: -23 + 8 = -15
5y = -15

Divide each side by '5'.
y = -3

Simplifying
y = -3