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

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

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

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

Remove parenthesis around (-1 + 2y)
-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 = 4
-1y = 4

Divide each side by '-1'.
y = -4

Simplifying
y = -4