3(8y+2)=12(7y+3)

Solution for 3(8y+2)=12(7y+3) equation:

Simplifying
3(8y + 2) = 12(7y + 3)

Reorder the terms:
3(2 + 8y) = 12(7y + 3)
(2 * 3 + 8y * 3) = 12(7y + 3)
(6 + 24y) = 12(7y + 3)

Reorder the terms:
6 + 24y = 12(3 + 7y)
6 + 24y = (3 * 12 + 7y * 12)
6 + 24y = (36 + 84y)

Solving
6 + 24y = 36 + 84y

Solving for variable 'y'.

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

Add '-84y' to each side of the equation.
6 + 24y + -84y = 36 + 84y + -84y

Combine like terms: 24y + -84y = -60y
6 + -60y = 36 + 84y + -84y

Combine like terms: 84y + -84y = 0
6 + -60y = 36 + 0
6 + -60y = 36

Add '-6' to each side of the equation.
6 + -6 + -60y = 36 + -6

Combine like terms: 6 + -6 = 0
0 + -60y = 36 + -6
-60y = 36 + -6

Combine like terms: 36 + -6 = 30
-60y = 30

Divide each side by '-60'.
y = -0.5

Simplifying
y = -0.5