22-[3+8y-2(y+4)]=

Solution for 22-[3+8y-2(y+4)]= equation:

Simplifying
22 + -1[3 + 8y + -2(y + 4)] = 0

Reorder the terms:
22 + -1[3 + 8y + -2(4 + y)] = 0
22 + -1[3 + 8y + (4 * -2 + y * -2)] = 0
22 + -1[3 + 8y + (-8 + -2y)] = 0

Reorder the terms:
22 + -1[3 + -8 + 8y + -2y] = 0

Combine like terms: 3 + -8 = -5
22 + -1[-5 + 8y + -2y] = 0

Combine like terms: 8y + -2y = 6y
22 + -1[-5 + 6y] = 0
22 + [-5 * -1 + 6y * -1] = 0
22 + [5 + -6y] = 0

Combine like terms: 22 + 5 = 27
27 + -6y = 0

Solving
27 + -6y = 0

Solving for variable 'y'.

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

Add '-27' to each side of the equation.
27 + -27 + -6y = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -6y = 0 + -27
-6y = 0 + -27

Combine like terms: 0 + -27 = -27
-6y = -27

Divide each side by '-6'.
y = 4.5

Simplifying
y = 4.5