2(2y-3)=3(4y-1)

Solution for 2(2y-3)=3(4y-1) equation:

Simplifying
2(2y + -3) = 3(4y + -1)

Reorder the terms:
2(-3 + 2y) = 3(4y + -1)
(-3 * 2 + 2y * 2) = 3(4y + -1)
(-6 + 4y) = 3(4y + -1)

Reorder the terms:
-6 + 4y = 3(-1 + 4y)
-6 + 4y = (-1 * 3 + 4y * 3)
-6 + 4y = (-3 + 12y)

Solving
-6 + 4y = -3 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
-6 + 4y + -12y = -3 + 12y + -12y

Combine like terms: 4y + -12y = -8y
-6 + -8y = -3 + 12y + -12y

Combine like terms: 12y + -12y = 0
-6 + -8y = -3 + 0
-6 + -8y = -3

Add '6' to each side of the equation.
-6 + 6 + -8y = -3 + 6

Combine like terms: -6 + 6 = 0
0 + -8y = -3 + 6
-8y = -3 + 6

Combine like terms: -3 + 6 = 3
-8y = 3

Divide each side by '-8'.
y = -0.375

Simplifying
y = -0.375