-2(y+3)=2y-6+2(2y+7)

Solution for -2(y+3)=2y-6+2(2y+7) equation:

Simplifying
-2(y + 3) = 2y + -6 + 2(2y + 7)

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

Reorder the terms:
-6 + -2y = 2y + -6 + 2(7 + 2y)
-6 + -2y = 2y + -6 + (7 * 2 + 2y * 2)
-6 + -2y = 2y + -6 + (14 + 4y)

Reorder the terms:
-6 + -2y = -6 + 14 + 2y + 4y

Combine like terms: -6 + 14 = 8
-6 + -2y = 8 + 2y + 4y

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

Solving
-6 + -2y = 8 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-6 + -2y + -6y = 8 + 6y + -6y

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

Combine like terms: 6y + -6y = 0
-6 + -8y = 8 + 0
-6 + -8y = 8

Add '6' to each side of the equation.
-6 + 6 + -8y = 8 + 6

Combine like terms: -6 + 6 = 0
0 + -8y = 8 + 6
-8y = 8 + 6

Combine like terms: 8 + 6 = 14
-8y = 14

Divide each side by '-8'.
y = -1.75

Simplifying
y = -1.75