how do I solve (5y-29) = (3y+19)

Simplifying

5y + - 29 = 3y + 19

Reorder the terms:

-29 + 5y = 3y + 19

Reorder the terms:

-29 + 5y = 19 + 3y

Solving

-29 + 5y = 19 + 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.

-29 + 5y + - 3y = 19 + 3y + - 3y

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

-29 + 2y = 19 + 3y + - 3y

Combine like terms: 3y + - 3y = 0

-29 + 2y = 19 + 0

-29 + 2y = 19

Add '29' to each side of the equation.

-29 + 29 + 2y = 19 + 29

Combine like terms: - 29 + 29 = 0

0 + 2y = 19 + 29

2y = 19 + 29

Combine like terms: 19 + 29 = 48

2y = 48

Divide each side by '2'.

y = 24

Simplifying

y = 24

Answer: y = 24

(5y - 29) = (3y + 19) Distributive Property

5y - 29 = 3y + 19 Subtract 3y from both sides

2y - 29 = 19 Add 29 to both sides

2y = 48 Divide by 2 to both sides

y = 24 Answer!