(-5y+2)-(-4y-8)=5

Solution for (-5y+2)-(-4y-8)=5 equation:

Simplifying
(-5y + 2) + -1(-4y + -8) = 5

Reorder the terms:
(2 + -5y) + -1(-4y + -8) = 5

Remove parenthesis around (2 + -5y)
2 + -5y + -1(-4y + -8) = 5

Reorder the terms:
2 + -5y + -1(-8 + -4y) = 5
2 + -5y + (-8 * -1 + -4y * -1) = 5
2 + -5y + (8 + 4y) = 5

Reorder the terms:
2 + 8 + -5y + 4y = 5

Combine like terms: 2 + 8 = 10
10 + -5y + 4y = 5

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

Solving
10 + -1y = 5

Solving for variable 'y'.

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

Add '-10' to each side of the equation.
10 + -10 + -1y = 5 + -10

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

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

Divide each side by '-1'.
y = 5

Simplifying
y = 5