3(y-9)=-7(6+y)

Solution for 3(y-9)=-7(6+y) equation:

Simplifying
3(y + -9) = -7(6 + y)

Reorder the terms:
3(-9 + y) = -7(6 + y)
(-9 * 3 + y * 3) = -7(6 + y)
(-27 + 3y) = -7(6 + y)
-27 + 3y = (6 * -7 + y * -7)
-27 + 3y = (-42 + -7y)

Solving
-27 + 3y = -42 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
-27 + 3y + 7y = -42 + -7y + 7y

Combine like terms: 3y + 7y = 10y
-27 + 10y = -42 + -7y + 7y

Combine like terms: -7y + 7y = 0
-27 + 10y = -42 + 0
-27 + 10y = -42

Add '27' to each side of the equation.
-27 + 27 + 10y = -42 + 27

Combine like terms: -27 + 27 = 0
0 + 10y = -42 + 27
10y = -42 + 27

Combine like terms: -42 + 27 = -15
10y = -15

Divide each side by '10'.
y = -1.5

Simplifying
y = -1.5