Question

Q(a+y)=67y+93 Solve for y

Answer 1

Qa + Qy = 67y + 93
Qy - 67y = 93 - Qa
y(Q - 67) = 93 - Qa
y =
`(93-Qa)/(Q-67)`

Answer 2

The value of y is:

`y=(93-qa)/(q-67)`

Explanation:

We are given a expression in terms of three unknowns q,a and y.

Now, we are asked to solve this expression for y.

i.e. we are asked to represent y in terms of other two unknowns.

We will first use the distributive property under multiplication in the left hand side of the equation.

i.e.

`q* a+q* y=67y+93\\\\i.e.\\\\qa+qy=67y+93`

Now, we combine the terms of y at one side of the equation and the other terms to the other side.

i.e.

`qy-67y=93-qa\\\\i.e.\\\\(q-67)y=93-qa\\\\i.e.\\\\y=(93-qa)/(q-67)`