6(2y-7)=5y

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

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

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

Solving
-42 + 12y = 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-42 + 12y + -5y = 5y + -5y

Combine like terms: 12y + -5y = 7y
-42 + 7y = 5y + -5y

Combine like terms: 5y + -5y = 0
-42 + 7y = 0

Add '42' to each side of the equation.
-42 + 42 + 7y = 0 + 42

Combine like terms: -42 + 42 = 0
0 + 7y = 0 + 42
7y = 0 + 42

Combine like terms: 0 + 42 = 42
7y = 42

Divide each side by '7'.
y = 6

Simplifying
y = 6