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

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

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

Reorder the terms:
-3y + 6(-6 + 7y) = -6 + 3(-2 + -1y)
-3y + (-6 * 6 + 7y * 6) = -6 + 3(-2 + -1y)
-3y + (-36 + 42y) = -6 + 3(-2 + -1y)

Reorder the terms:
-36 + -3y + 42y = -6 + 3(-2 + -1y)

Combine like terms: -3y + 42y = 39y
-36 + 39y = -6 + 3(-2 + -1y)
-36 + 39y = -6 + (-2 * 3 + -1y * 3)
-36 + 39y = -6 + (-6 + -3y)

Combine like terms: -6 + -6 = -12
-36 + 39y = -12 + -3y

Solving
-36 + 39y = -12 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
-36 + 39y + 3y = -12 + -3y + 3y

Combine like terms: 39y + 3y = 42y
-36 + 42y = -12 + -3y + 3y

Combine like terms: -3y + 3y = 0
-36 + 42y = -12 + 0
-36 + 42y = -12

Add '36' to each side of the equation.
-36 + 36 + 42y = -12 + 36

Combine like terms: -36 + 36 = 0
0 + 42y = -12 + 36
42y = -12 + 36

Combine like terms: -12 + 36 = 24
42y = 24

Divide each side by '42'.
y = 0.5714285714

Simplifying
y = 0.5714285714