y-(3+y)=y+6

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

Simplifying
y + -1(3 + y) = y + 6
y + (3 * -1 + y * -1) = y + 6
y + (-3 + -1y) = y + 6

Reorder the terms:
-3 + y + -1y = y + 6

Combine like terms: y + -1y = 0
-3 + 0 = y + 6
-3 = y + 6

Reorder the terms:
-3 = 6 + y

Solving
-3 = 6 + y

Solving for variable 'y'.

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

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

Combine like terms: y + -1y = 0
-3 + -1y = 6 + 0
-3 + -1y = 6

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

Combine like terms: -3 + 3 = 0
0 + -1y = 6 + 3
-1y = 6 + 3

Combine like terms: 6 + 3 = 9
-1y = 9

Divide each side by '-1'.
y = -9

Simplifying
y = -9