3y-2(4y+3)=19

Solution for 3y-2(4y+3)=19 equation:

Simplifying
3y + -2(4y + 3) = 19

Reorder the terms:
3y + -2(3 + 4y) = 19
3y + (3 * -2 + 4y * -2) = 19
3y + (-6 + -8y) = 19

Reorder the terms:
-6 + 3y + -8y = 19

Combine like terms: 3y + -8y = -5y
-6 + -5y = 19

Solving
-6 + -5y = 19

Solving for variable 'y'.

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

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

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

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

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

Simplifying
y = -5