19=3y+2(y-3)

Solution for 19=3y+2(y-3) equation:

Simplifying
19 = 3y + 2(y + -3)

Reorder the terms:
19 = 3y + 2(-3 + y)
19 = 3y + (-3 * 2 + y * 2)
19 = 3y + (-6 + 2y)

Reorder the terms:
19 = -6 + 3y + 2y

Combine like terms: 3y + 2y = 5y
19 = -6 + 5y

Solving
19 = -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.
19 + -5y = -6 + 5y + -5y

Combine like terms: 5y + -5y = 0
19 + -5y = -6 + 0
19 + -5y = -6

Add '-19' to each side of the equation.
19 + -19 + -5y = -6 + -19

Combine like terms: 19 + -19 = 0
0 + -5y = -6 + -19
-5y = -6 + -19

Combine like terms: -6 + -19 = -25
-5y = -25

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

Simplifying
y = 5