4y-(7y+6)=-y

Solution for 4y-(7y+6)=-y equation:

Simplifying
4y + -1(7y + 6) = -1y

Reorder the terms:
4y + -1(6 + 7y) = -1y
4y + (6 * -1 + 7y * -1) = -1y
4y + (-6 + -7y) = -1y

Reorder the terms:
-6 + 4y + -7y = -1y

Combine like terms: 4y + -7y = -3y
-6 + -3y = -1y

Solving
-6 + -3y = -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-6 + -3y + y = -1y + y

Combine like terms: -3y + y = -2y
-6 + -2y = -1y + y

Combine like terms: -1y + y = 0
-6 + -2y = 0

Add '6' to each side of the equation.
-6 + 6 + -2y = 0 + 6

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

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

Divide each side by '-2'.
y = -3

Simplifying
y = -3