(y-4)-(y+6)=5y

Solution for (y-4)-(y+6)=5y equation:

Simplifying
(y + -4) + -1(y + 6) = 5y

Reorder the terms:
(-4 + y) + -1(y + 6) = 5y

Remove parenthesis around (-4 + y)
-4 + y + -1(y + 6) = 5y

Reorder the terms:
-4 + y + -1(6 + y) = 5y
-4 + y + (6 * -1 + y * -1) = 5y
-4 + y + (-6 + -1y) = 5y

Reorder the terms:
-4 + -6 + y + -1y = 5y

Combine like terms: -4 + -6 = -10
-10 + y + -1y = 5y

Combine like terms: y + -1y = 0
-10 + 0 = 5y
-10 = 5y

Solving
-10 = 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-10 + -5y = 5y + -5y

Combine like terms: 5y + -5y = 0
-10 + -5y = 0

Add '10' to each side of the equation.
-10 + 10 + -5y = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -5y = 0 + 10
-5y = 0 + 10

Combine like terms: 0 + 10 = 10
-5y = 10

Divide each side by '-5'.
y = -2

Simplifying
y = -2