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

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

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

Reorder the terms:
4(8 + y) + -2(y + -5) = 4(y + -2)
(8 * 4 + y * 4) + -2(y + -5) = 4(y + -2)
(32 + 4y) + -2(y + -5) = 4(y + -2)

Reorder the terms:
32 + 4y + -2(-5 + y) = 4(y + -2)
32 + 4y + (-5 * -2 + y * -2) = 4(y + -2)
32 + 4y + (10 + -2y) = 4(y + -2)

Reorder the terms:
32 + 10 + 4y + -2y = 4(y + -2)

Combine like terms: 32 + 10 = 42
42 + 4y + -2y = 4(y + -2)

Combine like terms: 4y + -2y = 2y
42 + 2y = 4(y + -2)

Reorder the terms:
42 + 2y = 4(-2 + y)
42 + 2y = (-2 * 4 + y * 4)
42 + 2y = (-8 + 4y)

Solving
42 + 2y = -8 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
42 + 2y + -4y = -8 + 4y + -4y

Combine like terms: 2y + -4y = -2y
42 + -2y = -8 + 4y + -4y

Combine like terms: 4y + -4y = 0
42 + -2y = -8 + 0
42 + -2y = -8

Add '-42' to each side of the equation.
42 + -42 + -2y = -8 + -42

Combine like terms: 42 + -42 = 0
0 + -2y = -8 + -42
-2y = -8 + -42

Combine like terms: -8 + -42 = -50
-2y = -50

Divide each side by '-2'.
y = 25

Simplifying
y = 25