5(2y-4)=9(y+2)

Solution for 5(2y-4)=9(y+2) equation:

Simplifying
5(2y + -4) = 9(y + 2)

Reorder the terms:
5(-4 + 2y) = 9(y + 2)
(-4 * 5 + 2y * 5) = 9(y + 2)
(-20 + 10y) = 9(y + 2)

Reorder the terms:
-20 + 10y = 9(2 + y)
-20 + 10y = (2 * 9 + y * 9)
-20 + 10y = (18 + 9y)

Solving
-20 + 10y = 18 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
-20 + 10y + -9y = 18 + 9y + -9y

Combine like terms: 10y + -9y = 1y
-20 + 1y = 18 + 9y + -9y

Combine like terms: 9y + -9y = 0
-20 + 1y = 18 + 0
-20 + 1y = 18

Add '20' to each side of the equation.
-20 + 20 + 1y = 18 + 20

Combine like terms: -20 + 20 = 0
0 + 1y = 18 + 20
1y = 18 + 20

Combine like terms: 18 + 20 = 38
1y = 38

Divide each side by '1'.
y = 38

Simplifying
y = 38