3(4y-2)+2(y+5)=52

Solution for 3(4y-2)+2(y+5)=52 equation:

Simplifying
3(4y + -2) + 2(y + 5) = 52

Reorder the terms:
3(-2 + 4y) + 2(y + 5) = 52
(-2 * 3 + 4y * 3) + 2(y + 5) = 52
(-6 + 12y) + 2(y + 5) = 52

Reorder the terms:
-6 + 12y + 2(5 + y) = 52
-6 + 12y + (5 * 2 + y * 2) = 52
-6 + 12y + (10 + 2y) = 52

Reorder the terms:
-6 + 10 + 12y + 2y = 52

Combine like terms: -6 + 10 = 4
4 + 12y + 2y = 52

Combine like terms: 12y + 2y = 14y
4 + 14y = 52

Solving
4 + 14y = 52

Solving for variable 'y'.

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

Add '-4' to each side of the equation.
4 + -4 + 14y = 52 + -4

Combine like terms: 4 + -4 = 0
0 + 14y = 52 + -4
14y = 52 + -4

Combine like terms: 52 + -4 = 48
14y = 48

Divide each side by '14'.
y = 3.428571429

Simplifying
y = 3.428571429