Question

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

Answer 1

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 2

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!