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

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

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

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

Reorder the terms:
-6 + 12y = 2(5 + 2y)
-6 + 12y = (5 * 2 + 2y * 2)
-6 + 12y = (10 + 4y)

Solving
-6 + 12y = 10 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-6 + 12y + -4y = 10 + 4y + -4y

Combine like terms: 12y + -4y = 8y
-6 + 8y = 10 + 4y + -4y

Combine like terms: 4y + -4y = 0
-6 + 8y = 10 + 0
-6 + 8y = 10

Add '6' to each side of the equation.
-6 + 6 + 8y = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 8y = 10 + 6
8y = 10 + 6

Combine like terms: 10 + 6 = 16
8y = 16

Divide each side by '8'.
y = 2

Simplifying
y = 2