3(y-5)2=5

Solution for 3(y-5)2=5 equation:

Simplifying
3(y + -5) * 2 = 5

Reorder the terms:
3(-5 + y) * 2 = 5

Reorder the terms for easier multiplication:
3 * 2(-5 + y) = 5

Multiply 3 * 2
6(-5 + y) = 5
(-5 * 6 + y * 6) = 5
(-30 + 6y) = 5

Solving
-30 + 6y = 5

Solving for variable 'y'.

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

Add '30' to each side of the equation.
-30 + 30 + 6y = 5 + 30

Combine like terms: -30 + 30 = 0
0 + 6y = 5 + 30
6y = 5 + 30

Combine like terms: 5 + 30 = 35
6y = 35

Divide each side by '6'.
y = 5.833333333

Simplifying
y = 5.833333333