5y+3(y+2)=52

Solution for 5y+3(y+2)=52 equation:

Simplifying
5y + 3(y + 2) = 52

Reorder the terms:
5y + 3(2 + y) = 52
5y + (2 * 3 + y * 3) = 52
5y + (6 + 3y) = 52

Reorder the terms:
6 + 5y + 3y = 52

Combine like terms: 5y + 3y = 8y
6 + 8y = 52

Solving
6 + 8y = 52

Solving for variable 'y'.

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

Add '-6' to each side of the equation.
6 + -6 + 8y = 52 + -6

Combine like terms: 6 + -6 = 0
0 + 8y = 52 + -6
8y = 52 + -6

Combine like terms: 52 + -6 = 46
8y = 46

Divide each side by '8'.
y = 5.75

Simplifying
y = 5.75