-6=3(y-7)

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

Simplifying
-6 = 3(y + -7)

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

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

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

Add '6' to each side of the equation.
-6 + 6 + -3y = -21 + 6

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

Combine like terms: -21 + 6 = -15
-3y = -15

Divide each side by '-3'.
y = 5

Simplifying
y = 5