6(2y-7)=3(5y-1)

Solution for 6(2y-7)=3(5y-1) equation:

Simplifying
6(2y + -7) = 3(5y + -1)

Reorder the terms:
6(-7 + 2y) = 3(5y + -1)
(-7 * 6 + 2y * 6) = 3(5y + -1)
(-42 + 12y) = 3(5y + -1)

Reorder the terms:
-42 + 12y = 3(-1 + 5y)
-42 + 12y = (-1 * 3 + 5y * 3)
-42 + 12y = (-3 + 15y)

Solving
-42 + 12y = -3 + 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.
-42 + 12y + -15y = -3 + 15y + -15y

Combine like terms: 12y + -15y = -3y
-42 + -3y = -3 + 15y + -15y

Combine like terms: 15y + -15y = 0
-42 + -3y = -3 + 0
-42 + -3y = -3

Add '42' to each side of the equation.
-42 + 42 + -3y = -3 + 42

Combine like terms: -42 + 42 = 0
0 + -3y = -3 + 42
-3y = -3 + 42

Combine like terms: -3 + 42 = 39
-3y = 39

Divide each side by '-3'.
y = -13

Simplifying
y = -13