6(2y-1)=-5(3y-15)

Solution for 6(2y-1)=-5(3y-15) equation:

Simplifying
6(2y + -1) = -5(3y + -15)

Reorder the terms:
6(-1 + 2y) = -5(3y + -15)
(-1 * 6 + 2y * 6) = -5(3y + -15)
(-6 + 12y) = -5(3y + -15)

Reorder the terms:
-6 + 12y = -5(-15 + 3y)
-6 + 12y = (-15 * -5 + 3y * -5)
-6 + 12y = (75 + -15y)

Solving
-6 + 12y = 75 + -15y

Solving for variable 'y'.

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

Add '15y' to each side of the equation.
-6 + 12y + 15y = 75 + -15y + 15y

Combine like terms: 12y + 15y = 27y
-6 + 27y = 75 + -15y + 15y

Combine like terms: -15y + 15y = 0
-6 + 27y = 75 + 0
-6 + 27y = 75

Add '6' to each side of the equation.
-6 + 6 + 27y = 75 + 6

Combine like terms: -6 + 6 = 0
0 + 27y = 75 + 6
27y = 75 + 6

Combine like terms: 75 + 6 = 81
27y = 81

Divide each side by '27'.
y = 3

Simplifying
y = 3