3(6y+2)=2(4y-5)

Solution for 3(6y+2)=2(4y-5) equation:

Simplifying
3(6y + 2) = 2(4y + -5)

Reorder the terms:
3(2 + 6y) = 2(4y + -5)
(2 * 3 + 6y * 3) = 2(4y + -5)
(6 + 18y) = 2(4y + -5)

Reorder the terms:
6 + 18y = 2(-5 + 4y)
6 + 18y = (-5 * 2 + 4y * 2)
6 + 18y = (-10 + 8y)

Solving
6 + 18y = -10 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
6 + 18y + -8y = -10 + 8y + -8y

Combine like terms: 18y + -8y = 10y
6 + 10y = -10 + 8y + -8y

Combine like terms: 8y + -8y = 0
6 + 10y = -10 + 0
6 + 10y = -10

Add '-6' to each side of the equation.
6 + -6 + 10y = -10 + -6

Combine like terms: 6 + -6 = 0
0 + 10y = -10 + -6
10y = -10 + -6

Combine like terms: -10 + -6 = -16
10y = -16

Divide each side by '10'.
y = -1.6

Simplifying
y = -1.6