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

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

Simplifying
7(6 + -1y) = -3(y + -2)
(6 * 7 + -1y * 7) = -3(y + -2)
(42 + -7y) = -3(y + -2)

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

Solving
42 + -7y = 6 + -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.
42 + -7y + 3y = 6 + -3y + 3y

Combine like terms: -7y + 3y = -4y
42 + -4y = 6 + -3y + 3y

Combine like terms: -3y + 3y = 0
42 + -4y = 6 + 0
42 + -4y = 6

Add '-42' to each side of the equation.
42 + -42 + -4y = 6 + -42

Combine like terms: 42 + -42 = 0
0 + -4y = 6 + -42
-4y = 6 + -42

Combine like terms: 6 + -42 = -36
-4y = -36

Divide each side by '-4'.
y = 9

Simplifying
y = 9