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

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

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

Reorder the terms:
5(4 + y) = 3(y + -2)
(4 * 5 + y * 5) = 3(y + -2)
(20 + 5y) = 3(y + -2)

Reorder the terms:
20 + 5y = 3(-2 + y)
20 + 5y = (-2 * 3 + y * 3)
20 + 5y = (-6 + 3y)

Solving
20 + 5y = -6 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
20 + 5y + -3y = -6 + 3y + -3y

Combine like terms: 5y + -3y = 2y
20 + 2y = -6 + 3y + -3y

Combine like terms: 3y + -3y = 0
20 + 2y = -6 + 0
20 + 2y = -6

Add '-20' to each side of the equation.
20 + -20 + 2y = -6 + -20

Combine like terms: 20 + -20 = 0
0 + 2y = -6 + -20
2y = -6 + -20

Combine like terms: -6 + -20 = -26
2y = -26

Divide each side by '2'.
y = -13

Simplifying
y = -13