3(y-1)=2y+1

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

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

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

Reorder the terms:
-3 + 3y = 1 + 2y

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

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

Combine like terms: 2y + -2y = 0
-3 + 1y = 1 + 0
-3 + 1y = 1

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

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

Combine like terms: 1 + 3 = 4
1y = 4

Divide each side by '1'.
y = 4

Simplifying
y = 4