-7(-(y+6)+3y)=2(y+5)

Solution for -7(-(y+6)+3y)=2(y+5) equation:

Simplifying
-7(-1(y + 6) + 3y) = 2(y + 5)

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

Combine like terms: -1y + 3y = 2y
-7(-6 + 2y) = 2(y + 5)
(-6 * -7 + 2y * -7) = 2(y + 5)
(42 + -14y) = 2(y + 5)

Reorder the terms:
42 + -14y = 2(5 + y)
42 + -14y = (5 * 2 + y * 2)
42 + -14y = (10 + 2y)

Solving
42 + -14y = 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.
42 + -14y + -2y = 10 + 2y + -2y

Combine like terms: -14y + -2y = -16y
42 + -16y = 10 + 2y + -2y

Combine like terms: 2y + -2y = 0
42 + -16y = 10 + 0
42 + -16y = 10

Add '-42' to each side of the equation.
42 + -42 + -16y = 10 + -42

Combine like terms: 42 + -42 = 0
0 + -16y = 10 + -42
-16y = 10 + -42

Combine like terms: 10 + -42 = -32
-16y = -32

Divide each side by '-16'.
y = 2

Simplifying
y = 2