16-2(3y+5)=4(y-2)

Solution for 16-2(3y+5)=4(y-2) equation:

Simplifying
16 + -2(3y + 5) = 4(y + -2)

Reorder the terms:
16 + -2(5 + 3y) = 4(y + -2)
16 + (5 * -2 + 3y * -2) = 4(y + -2)
16 + (-10 + -6y) = 4(y + -2)

Combine like terms: 16 + -10 = 6
6 + -6y = 4(y + -2)

Reorder the terms:
6 + -6y = 4(-2 + y)
6 + -6y = (-2 * 4 + y * 4)
6 + -6y = (-8 + 4y)

Solving
6 + -6y = -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.
6 + -6y + -4y = -8 + 4y + -4y

Combine like terms: -6y + -4y = -10y
6 + -10y = -8 + 4y + -4y

Combine like terms: 4y + -4y = 0
6 + -10y = -8 + 0
6 + -10y = -8

Add '-6' to each side of the equation.
6 + -6 + -10y = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -10y = -8 + -6
-10y = -8 + -6

Combine like terms: -8 + -6 = -14
-10y = -14

Divide each side by '-10'.
y = 1.4

Simplifying
y = 1.4