3(4y-2)=(2y+5)

Solution for 3(4y-2)=(2y+5) equation:

Simplifying
3(4y + -2) = (2y + 5)

Reorder the terms:
3(-2 + 4y) = (2y + 5)
(-2 * 3 + 4y * 3) = (2y + 5)
(-6 + 12y) = (2y + 5)

Reorder the terms:
-6 + 12y = (5 + 2y)

Remove parenthesis around (5 + 2y)
-6 + 12y = 5 + 2y

Solving
-6 + 12y = 5 + 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.
-6 + 12y + -2y = 5 + 2y + -2y

Combine like terms: 12y + -2y = 10y
-6 + 10y = 5 + 2y + -2y

Combine like terms: 2y + -2y = 0
-6 + 10y = 5 + 0
-6 + 10y = 5

Add '6' to each side of the equation.
-6 + 6 + 10y = 5 + 6

Combine like terms: -6 + 6 = 0
0 + 10y = 5 + 6
10y = 5 + 6

Combine like terms: 5 + 6 = 11
10y = 11

Divide each side by '10'.
y = 1.1

Simplifying
y = 1.1