6=3-5(y-2)

Solution for 6=3-5(y-2) equation:

Simplifying
6 = 3 + -5(y + -2)

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

Combine like terms: 3 + 10 = 13
6 = 13 + -5y

Solving
6 = 13 + -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 + 5y = 13 + -5y + 5y

Combine like terms: -5y + 5y = 0
6 + 5y = 13 + 0
6 + 5y = 13

Add '-6' to each side of the equation.
6 + -6 + 5y = 13 + -6

Combine like terms: 6 + -6 = 0
0 + 5y = 13 + -6
5y = 13 + -6

Combine like terms: 13 + -6 = 7
5y = 7

Divide each side by '5'.
y = 1.4

Simplifying
y = 1.4