2[3-2(y+5)]=30

Solution for 2[3-2(y+5)]=30 equation:

Simplifying
2[3 + -2(y + 5)] = 30

Reorder the terms:
2[3 + -2(5 + y)] = 30
2[3 + (5 * -2 + y * -2)] = 30
2[3 + (-10 + -2y)] = 30

Combine like terms: 3 + -10 = -7
2[-7 + -2y] = 30
[-7 * 2 + -2y * 2] = 30
[-14 + -4y] = 30

Solving
-14 + -4y = 30

Solving for variable 'y'.

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

Add '14' to each side of the equation.
-14 + 14 + -4y = 30 + 14

Combine like terms: -14 + 14 = 0
0 + -4y = 30 + 14
-4y = 30 + 14

Combine like terms: 30 + 14 = 44
-4y = 44

Divide each side by '-4'.
y = -11

Simplifying
y = -11