2(6y+3)+3(4y-8)=21

Solution for 2(6y+3)+3(4y-8)=21 equation:

Simplifying
2(6y + 3) + 3(4y + -8) = 21

Reorder the terms:
2(3 + 6y) + 3(4y + -8) = 21
(3 * 2 + 6y * 2) + 3(4y + -8) = 21
(6 + 12y) + 3(4y + -8) = 21

Reorder the terms:
6 + 12y + 3(-8 + 4y) = 21
6 + 12y + (-8 * 3 + 4y * 3) = 21
6 + 12y + (-24 + 12y) = 21

Reorder the terms:
6 + -24 + 12y + 12y = 21

Combine like terms: 6 + -24 = -18
-18 + 12y + 12y = 21

Combine like terms: 12y + 12y = 24y
-18 + 24y = 21

Solving
-18 + 24y = 21

Solving for variable 'y'.

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

Add '18' to each side of the equation.
-18 + 18 + 24y = 21 + 18

Combine like terms: -18 + 18 = 0
0 + 24y = 21 + 18
24y = 21 + 18

Combine like terms: 21 + 18 = 39
24y = 39

Divide each side by '24'.
y = 1.625

Simplifying
y = 1.625