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

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

Simplifying
4(5 + -1y) = 3(y + 2)
(5 * 4 + -1y * 4) = 3(y + 2)
(20 + -4y) = 3(y + 2)

Reorder the terms:
20 + -4y = 3(2 + y)
20 + -4y = (2 * 3 + y * 3)
20 + -4y = (6 + 3y)

Solving
20 + -4y = 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 + -4y + -3y = 6 + 3y + -3y

Combine like terms: -4y + -3y = -7y
20 + -7y = 6 + 3y + -3y

Combine like terms: 3y + -3y = 0
20 + -7y = 6 + 0
20 + -7y = 6

Add '-20' to each side of the equation.
20 + -20 + -7y = 6 + -20

Combine like terms: 20 + -20 = 0
0 + -7y = 6 + -20
-7y = 6 + -20

Combine like terms: 6 + -20 = -14
-7y = -14

Divide each side by '-7'.
y = 2

Simplifying
y = 2