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

Solution for 6-y=4+5(y-2) equation:

Simplifying
6 + -1y = 4 + 5(y + -2)

Reorder the terms:
6 + -1y = 4 + 5(-2 + y)
6 + -1y = 4 + (-2 * 5 + y * 5)
6 + -1y = 4 + (-10 + 5y)

Combine like terms: 4 + -10 = -6
6 + -1y = -6 + 5y

Solving
6 + -1y = -6 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
6 + -1y + -5y = -6 + 5y + -5y

Combine like terms: -1y + -5y = -6y
6 + -6y = -6 + 5y + -5y

Combine like terms: 5y + -5y = 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