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 = -10y
42 + -10y = -6 + 3y + -3y

Combine like terms: 3y + -3y = 0
42 + -10y = -6 + 0
42 + -10y = -6

Add '-42' to each side of the equation.
42 + -42 + -10y = -6 + -42

Combine like terms: 42 + -42 = 0
0 + -10y = -6 + -42
-10y = -6 + -42

Combine like terms: -6 + -42 = -48
-10y = -48

Divide each side by '-10'.
y = 4.8

Simplifying
y = 4.8