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

Solution for 5y+2(y-4)=4(y+1)-2 equation:

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

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

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

Combine like terms: 5y + 2y = 7y
-8 + 7y = 4(y + 1) + -2

Reorder the terms:
-8 + 7y = 4(1 + y) + -2
-8 + 7y = (1 * 4 + y * 4) + -2
-8 + 7y = (4 + 4y) + -2

Reorder the terms:
-8 + 7y = 4 + -2 + 4y

Combine like terms: 4 + -2 = 2
-8 + 7y = 2 + 4y

Solving
-8 + 7y = 2 + 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.
-8 + 7y + -4y = 2 + 4y + -4y

Combine like terms: 7y + -4y = 3y
-8 + 3y = 2 + 4y + -4y

Combine like terms: 4y + -4y = 0
-8 + 3y = 2 + 0
-8 + 3y = 2

Add '8' to each side of the equation.
-8 + 8 + 3y = 2 + 8

Combine like terms: -8 + 8 = 0
0 + 3y = 2 + 8
3y = 2 + 8

Combine like terms: 2 + 8 = 10
3y = 10

Divide each side by '3'.
y = 3.333333333

Simplifying
y = 3.333333333