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

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

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

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

Reorder the terms:
6 + -6y = 3(-7 + y)
6 + -6y = (-7 * 3 + y * 3)
6 + -6y = (-21 + 3y)

Solving
6 + -6y = -21 + 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 + -6y + -3y = -21 + 3y + -3y

Combine like terms: -6y + -3y = -9y
6 + -9y = -21 + 3y + -3y

Combine like terms: 3y + -3y = 0
6 + -9y = -21 + 0
6 + -9y = -21

Add '-6' to each side of the equation.
6 + -6 + -9y = -21 + -6

Combine like terms: 6 + -6 = 0
0 + -9y = -21 + -6
-9y = -21 + -6

Combine like terms: -21 + -6 = -27
-9y = -27

Divide each side by '-9'.
y = 3

Simplifying
y = 3