-4(y+3)=2y-6+2(3y+5)

Solution for -4(y+3)=2y-6+2(3y+5) equation:

Simplifying
-4(y + 3) = 2y + -6 + 2(3y + 5)

Reorder the terms:
-4(3 + y) = 2y + -6 + 2(3y + 5)
(3 * -4 + y * -4) = 2y + -6 + 2(3y + 5)
(-12 + -4y) = 2y + -6 + 2(3y + 5)

Reorder the terms:
-12 + -4y = 2y + -6 + 2(5 + 3y)
-12 + -4y = 2y + -6 + (5 * 2 + 3y * 2)
-12 + -4y = 2y + -6 + (10 + 6y)

Reorder the terms:
-12 + -4y = -6 + 10 + 2y + 6y

Combine like terms: -6 + 10 = 4
-12 + -4y = 4 + 2y + 6y

Combine like terms: 2y + 6y = 8y
-12 + -4y = 4 + 8y

Solving
-12 + -4y = 4 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-12 + -4y + -8y = 4 + 8y + -8y

Combine like terms: -4y + -8y = -12y
-12 + -12y = 4 + 8y + -8y

Combine like terms: 8y + -8y = 0
-12 + -12y = 4 + 0
-12 + -12y = 4

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

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

Combine like terms: 4 + 12 = 16
-12y = 16

Divide each side by '-12'.
y = -1.333333333

Simplifying
y = -1.333333333