8y+4-2(-6y-3)=2(y-3)

Solution for 8y+4-2(-6y-3)=2(y-3) equation:

Simplifying
8y + 4 + -2(-6y + -3) = 2(y + -3)

Reorder the terms:
8y + 4 + -2(-3 + -6y) = 2(y + -3)
8y + 4 + (-3 * -2 + -6y * -2) = 2(y + -3)
8y + 4 + (6 + 12y) = 2(y + -3)

Reorder the terms:
4 + 6 + 8y + 12y = 2(y + -3)

Combine like terms: 4 + 6 = 10
10 + 8y + 12y = 2(y + -3)

Combine like terms: 8y + 12y = 20y
10 + 20y = 2(y + -3)

Reorder the terms:
10 + 20y = 2(-3 + y)
10 + 20y = (-3 * 2 + y * 2)
10 + 20y = (-6 + 2y)

Solving
10 + 20y = -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.
10 + 20y + -2y = -6 + 2y + -2y

Combine like terms: 20y + -2y = 18y
10 + 18y = -6 + 2y + -2y

Combine like terms: 2y + -2y = 0
10 + 18y = -6 + 0
10 + 18y = -6

Add '-10' to each side of the equation.
10 + -10 + 18y = -6 + -10

Combine like terms: 10 + -10 = 0
0 + 18y = -6 + -10
18y = -6 + -10

Combine like terms: -6 + -10 = -16
18y = -16

Divide each side by '18'.
y = -0.8888888889

Simplifying
y = -0.8888888889