2(y-3)-3(y-1)=5

Solution for 2(y-3)-3(y-1)=5 equation:

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

Reorder the terms:
2(-3 + y) + -3(y + -1) = 5
(-3 * 2 + y * 2) + -3(y + -1) = 5
(-6 + 2y) + -3(y + -1) = 5

Reorder the terms:
-6 + 2y + -3(-1 + y) = 5
-6 + 2y + (-1 * -3 + y * -3) = 5
-6 + 2y + (3 + -3y) = 5

Reorder the terms:
-6 + 3 + 2y + -3y = 5

Combine like terms: -6 + 3 = -3
-3 + 2y + -3y = 5

Combine like terms: 2y + -3y = -1y
-3 + -1y = 5

Solving
-3 + -1y = 5

Solving for variable 'y'.

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

Add '3' to each side of the equation.
-3 + 3 + -1y = 5 + 3

Combine like terms: -3 + 3 = 0
0 + -1y = 5 + 3
-1y = 5 + 3

Combine like terms: 5 + 3 = 8
-1y = 8

Divide each side by '-1'.
y = -8

Simplifying
y = -8