If x=6 and the equation is z+3y=4x+y then what is y

y = 9

Step-by-step explanation:

First, simplify the equation by collecting like terms (with the same variable).

I will move all the "y" to the left and the "x" to the right.

x + 3y = 4x + y

x - x + 3y = 4x - x + y Subtract x on both sides

3y = 3x + y "x" is cancelled out on the left

3y - y = 3x + y - y Subtract y on both sides to cancel out on the right.

2y = 3x Simplified equation

Now, substitute any "x" with 6.

2y = 3 (6) Simplify the multiplication

2y = 18

2y/2 = 18/2 Divide both sides by 2 to isolate "y"

y = 9 Solved for "y"

Check your answer:

Substitute "x" with 6 and "y" with 9.

x + 3y = 4x + y

6 + 3 (9) = 4 (6) + 9 Simplify multiplication first

6 + 27 = 24 + 9 Simplify each side by adding

33 = 33 Same answers

LS = RS Left side equal right side

Therefore the answer is correct.