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

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.

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step-by-step explanation:

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4