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

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

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

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

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

Combine like terms: -3y + 2y = -1y
6 + -1y = -4 + 2(y + -3)

Reorder the terms:
6 + -1y = -4 + 2(-3 + y)
6 + -1y = -4 + (-3 * 2 + y * 2)
6 + -1y = -4 + (-6 + 2y)

Combine like terms: -4 + -6 = -10
6 + -1y = -10 + 2y

Solving
6 + -1y = -10 + 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 + -1y + -2y = -10 + 2y + -2y

Combine like terms: -1y + -2y = -3y
6 + -3y = -10 + 2y + -2y

Combine like terms: 2y + -2y = 0
6 + -3y = -10 + 0
6 + -3y = -10

Add '-6' to each side of the equation.
6 + -6 + -3y = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -3y = -10 + -6
-3y = -10 + -6

Combine like terms: -10 + -6 = -16
-3y = -16

Divide each side by '-3'.
y = 5.333333333

Simplifying
y = 5.333333333