4y-2(y-5)=2

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

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

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

Reorder the terms:
10 + 4y + -2y = 2

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

Solving
10 + 2y = 2

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 + 2y = 2 + -10

Combine like terms: 10 + -10 = 0
0 + 2y = 2 + -10
2y = 2 + -10

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

Divide each side by '2'.
y = -4

Simplifying
y = -4