14-4(4y-5)=2y-2(3-y)

Solution for 14-4(4y-5)=2y-2(3-y) equation:

Simplifying
14 + -4(4y + -5) = 2y + -2(3 + -1y)

Reorder the terms:
14 + -4(-5 + 4y) = 2y + -2(3 + -1y)
14 + (-5 * -4 + 4y * -4) = 2y + -2(3 + -1y)
14 + (20 + -16y) = 2y + -2(3 + -1y)

Combine like terms: 14 + 20 = 34
34 + -16y = 2y + -2(3 + -1y)
34 + -16y = 2y + (3 * -2 + -1y * -2)
34 + -16y = 2y + (-6 + 2y)

Reorder the terms:
34 + -16y = -6 + 2y + 2y

Combine like terms: 2y + 2y = 4y
34 + -16y = -6 + 4y

Solving
34 + -16y = -6 + 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.
34 + -16y + -4y = -6 + 4y + -4y

Combine like terms: -16y + -4y = -20y
34 + -20y = -6 + 4y + -4y

Combine like terms: 4y + -4y = 0
34 + -20y = -6 + 0
34 + -20y = -6

Add '-34' to each side of the equation.
34 + -34 + -20y = -6 + -34

Combine like terms: 34 + -34 = 0
0 + -20y = -6 + -34
-20y = -6 + -34

Combine like terms: -6 + -34 = -40
-20y = -40

Divide each side by '-20'.
y = 2

Simplifying
y = 2