6=3+5(y-3)

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

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

Reorder the terms:
6 = 3 + 5(-3 + y)
6 = 3 + (-3 * 5 + y * 5)
6 = 3 + (-15 + 5y)

Combine like terms: 3 + -15 = -12
6 = -12 + 5y

Solving
6 = -12 + 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 = -12 + 5y + -5y

Combine like terms: 5y + -5y = 0
6 + -5y = -12 + 0
6 + -5y = -12

Add '-6' to each side of the equation.
6 + -6 + -5y = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -5y = -12 + -6
-5y = -12 + -6

Combine like terms: -12 + -6 = -18
-5y = -18

Divide each side by '-5'.
y = 3.6

Simplifying
y = 3.6