3(5y+2)=2y-6

Solution for 3(5y+2)=2y-6 equation:

Simplifying
3(5y + 2) = 2y + -6

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

Reorder the terms:
6 + 15y = -6 + 2y

Solving
6 + 15y = -6 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
6 + 15y + -2y = -6 + 2y + -2y

Combine like terms: 15y + -2y = 13y
6 + 13y = -6 + 2y + -2y

Combine like terms: 2y + -2y = 0
6 + 13y = -6 + 0
6 + 13y = -6

Add '-6' to each side of the equation.
6 + -6 + 13y = -6 + -6

Combine like terms: 6 + -6 = 0
0 + 13y = -6 + -6
13y = -6 + -6

Combine like terms: -6 + -6 = -12
13y = -12

Divide each side by '13'.
y = -0.9230769231

Simplifying
y = -0.9230769231