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

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

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

Reorder the terms:
-3(-2 + 5y) + 2y = 5(y + 4)
(-2 * -3 + 5y * -3) + 2y = 5(y + 4)
(6 + -15y) + 2y = 5(y + 4)

Combine like terms: -15y + 2y = -13y
6 + -13y = 5(y + 4)

Reorder the terms:
6 + -13y = 5(4 + y)
6 + -13y = (4 * 5 + y * 5)
6 + -13y = (20 + 5y)

Solving
6 + -13y = 20 + 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.
6 + -13y + -5y = 20 + 5y + -5y

Combine like terms: -13y + -5y = -18y
6 + -18y = 20 + 5y + -5y

Combine like terms: 5y + -5y = 0
6 + -18y = 20 + 0
6 + -18y = 20

Add '-6' to each side of the equation.
6 + -6 + -18y = 20 + -6

Combine like terms: 6 + -6 = 0
0 + -18y = 20 + -6
-18y = 20 + -6

Combine like terms: 20 + -6 = 14
-18y = 14

Divide each side by '-18'.
y = -0.7777777778

Simplifying
y = -0.7777777778