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

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

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

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

Remove parenthesis around (-3y)
-42 + 7y = 3 * -3y

Multiply 3 * -3
-42 + 7y = -9y

Solving
-42 + 7y = -9y

Solving for variable 'y'.

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

Add '9y' to each side of the equation.
-42 + 7y + 9y = -9y + 9y

Combine like terms: 7y + 9y = 16y
-42 + 16y = -9y + 9y

Combine like terms: -9y + 9y = 0
-42 + 16y = 0

Add '42' to each side of the equation.
-42 + 42 + 16y = 0 + 42

Combine like terms: -42 + 42 = 0
0 + 16y = 0 + 42
16y = 0 + 42

Combine like terms: 0 + 42 = 42
16y = 42

Divide each side by '16'.
y = 2.625

Simplifying
y = 2.625