7y-6=3(y+6)

Solution for 7y-6=3(y+6) equation:

Simplifying
7y + -6 = 3(y + 6)

Reorder the terms:
-6 + 7y = 3(y + 6)

Reorder the terms:
-6 + 7y = 3(6 + y)
-6 + 7y = (6 * 3 + y * 3)
-6 + 7y = (18 + 3y)

Solving
-6 + 7y = 18 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-6 + 7y + -3y = 18 + 3y + -3y

Combine like terms: 7y + -3y = 4y
-6 + 4y = 18 + 3y + -3y

Combine like terms: 3y + -3y = 0
-6 + 4y = 18 + 0
-6 + 4y = 18

Add '6' to each side of the equation.
-6 + 6 + 4y = 18 + 6

Combine like terms: -6 + 6 = 0
0 + 4y = 18 + 6
4y = 18 + 6

Combine like terms: 18 + 6 = 24
4y = 24

Divide each side by '4'.
y = 6

Simplifying
y = 6