3(5y+2)-y=2

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

Simplifying
3(5y + 2) + -1y = 2

Reorder the terms:
3(2 + 5y) + -1y = 2
(2 * 3 + 5y * 3) + -1y = 2
(6 + 15y) + -1y = 2

Combine like terms: 15y + -1y = 14y
6 + 14y = 2

Solving
6 + 14y = 2

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 + 14y = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 14y = 2 + -6
14y = 2 + -6

Combine like terms: 2 + -6 = -4
14y = -4

Divide each side by '14'.
y = -0.2857142857

Simplifying
y = -0.2857142857