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

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

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

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

Combine like terms: 14 + -20 = -6
-6 + 4y = 2(3 + -1y)
-6 + 4y = (3 * 2 + -1y * 2)
-6 + 4y = (6 + -2y)

Solving
-6 + 4y = 6 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-6 + 4y + 2y = 6 + -2y + 2y

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

Combine like terms: -2y + 2y = 0
-6 + 6y = 6 + 0
-6 + 6y = 6

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

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

Combine like terms: 6 + 6 = 12
6y = 12

Divide each side by '6'.
y = 2

Simplifying
y = 2