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

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

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

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

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

Combine like terms: -6 + 5 = -1
-1 + 2y = 3(y + -1)

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

Solving
-1 + 2y = -3 + 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.
-1 + 2y + -3y = -3 + 3y + -3y

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

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

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

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

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

Divide each side by '-1'.
y = 2

Simplifying
y = 2