3(y+2)=-2(5y-1)+7y

Solution for 3(y+2)=-2(5y-1)+7y equation:

Simplifying
3(y + 2) = -2(5y + -1) + 7y

Reorder the terms:
3(2 + y) = -2(5y + -1) + 7y
(2 * 3 + y * 3) = -2(5y + -1) + 7y
(6 + 3y) = -2(5y + -1) + 7y

Reorder the terms:
6 + 3y = -2(-1 + 5y) + 7y
6 + 3y = (-1 * -2 + 5y * -2) + 7y
6 + 3y = (2 + -10y) + 7y

Combine like terms: -10y + 7y = -3y
6 + 3y = 2 + -3y

Solving
6 + 3y = 2 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
6 + 3y + 3y = 2 + -3y + 3y

Combine like terms: 3y + 3y = 6y
6 + 6y = 2 + -3y + 3y

Combine like terms: -3y + 3y = 0
6 + 6y = 2 + 0
6 + 6y = 2

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

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

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

Divide each side by '6'.
y = -0.6666666667

Simplifying
y = -0.6666666667