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

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

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

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

Reorder the terms:
6 + 3y = -2(-2 + 5y) + y
6 + 3y = (-2 * -2 + 5y * -2) + y
6 + 3y = (4 + -10y) + y

Combine like terms: -10y + y = -9y
6 + 3y = 4 + -9y

Solving
6 + 3y = 4 + -9y

Solving for variable 'y'.

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

Add '9y' to each side of the equation.
6 + 3y + 9y = 4 + -9y + 9y

Combine like terms: 3y + 9y = 12y
6 + 12y = 4 + -9y + 9y

Combine like terms: -9y + 9y = 0
6 + 12y = 4 + 0
6 + 12y = 4

Add '-6' to each side of the equation.
6 + -6 + 12y = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 12y = 4 + -6
12y = 4 + -6

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

Divide each side by '12'.
y = -0.1666666667

Simplifying
y = -0.1666666667