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19*(y-9)=3*(y-8) equation

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Numerical solution:

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The solution

You have entered [src]
19*(y - 9) = 3*(y - 8)
$$19 \left(y - 9\right) = 3 \left(y - 8\right)$$
Detail solution
Given the linear equation:
19*(y-9) = 3*(y-8)

Expand brackets in the left part
19*y-19*9 = 3*(y-8)

Expand brackets in the right part
19*y-19*9 = 3*y-3*8

Move free summands (without y)
from left part to right part, we given:
$$19 y = 3 y + 147$$
Move the summands with the unknown y
from the right part to the left part:
$$16 y = 147$$
Divide both parts of the equation by 16
y = 147 / (16)

We get the answer: y = 147/16
The graph
Rapid solution [src]
     147
y1 = ---
      16
$$y_{1} = \frac{147}{16}$$
y1 = 147/16
Sum and product of roots [src]
sum
147
---
 16
$$\frac{147}{16}$$
=
147
---
 16
$$\frac{147}{16}$$
product
147
---
 16
$$\frac{147}{16}$$
=
147
---
 16
$$\frac{147}{16}$$
147/16
Numerical answer [src]
y1 = 9.1875
y1 = 9.1875