y-(3y-5)-(8y+6)=4

Solution for y-(3y-5)-(8y+6)=4 equation:

Simplifying
y + -1(3y + -5) + -1(8y + 6) = 4

Reorder the terms:
y + -1(-5 + 3y) + -1(8y + 6) = 4
y + (-5 * -1 + 3y * -1) + -1(8y + 6) = 4
y + (5 + -3y) + -1(8y + 6) = 4

Reorder the terms:
y + 5 + -3y + -1(6 + 8y) = 4
y + 5 + -3y + (6 * -1 + 8y * -1) = 4
y + 5 + -3y + (-6 + -8y) = 4

Reorder the terms:
5 + -6 + y + -3y + -8y = 4

Combine like terms: 5 + -6 = -1
-1 + y + -3y + -8y = 4

Combine like terms: y + -3y = -2y
-1 + -2y + -8y = 4

Combine like terms: -2y + -8y = -10y
-1 + -10y = 4

Solving
-1 + -10y = 4

Solving for variable 'y'.

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

Add '1' to each side of the equation.
-1 + 1 + -10y = 4 + 1

Combine like terms: -1 + 1 = 0
0 + -10y = 4 + 1
-10y = 4 + 1

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

Divide each side by '-10'.
y = -0.5

Simplifying
y = -0.5