(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 = 2
-1y = 2

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

Simplifying
y = -2