2(y-3)=-8(6+y)

Solution for 2(y-3)=-8(6+y) equation:

Simplifying
2(y + -3) = -8(6 + y)

Reorder the terms:
2(-3 + y) = -8(6 + y)
(-3 * 2 + y * 2) = -8(6 + y)
(-6 + 2y) = -8(6 + y)
-6 + 2y = (6 * -8 + y * -8)
-6 + 2y = (-48 + -8y)

Solving
-6 + 2y = -48 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
-6 + 2y + 8y = -48 + -8y + 8y

Combine like terms: 2y + 8y = 10y
-6 + 10y = -48 + -8y + 8y

Combine like terms: -8y + 8y = 0
-6 + 10y = -48 + 0
-6 + 10y = -48

Add '6' to each side of the equation.
-6 + 6 + 10y = -48 + 6

Combine like terms: -6 + 6 = 0
0 + 10y = -48 + 6
10y = -48 + 6

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

Divide each side by '10'.
y = -4.2

Simplifying
y = -4.2