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

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

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

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

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

Solving
6 + 2y = -3 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
6 + 2y + -6y = -3 + 6y + -6y

Combine like terms: 2y + -6y = -4y
6 + -4y = -3 + 6y + -6y

Combine like terms: 6y + -6y = 0
6 + -4y = -3 + 0
6 + -4y = -3

Add '-6' to each side of the equation.
6 + -6 + -4y = -3 + -6

Combine like terms: 6 + -6 = 0
0 + -4y = -3 + -6
-4y = -3 + -6

Combine like terms: -3 + -6 = -9
-4y = -9

Divide each side by '-4'.
y = 2.25

Simplifying
y = 2.25