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Verified Answer :

Given cy - 7 = 5d + 3y, we solve for y as follows:

cy - 3y = 5d + 7

y(c - 3) = 5d + 7

y = (5d + 7) / (c - 3)

For this case we have the following equation:

\(cy-7 = 5d + 3y
\)

We must clear the value of y.

For this, we follow the following steps:


1) We place the variables on one side of the equation and the constant terms on the other side of the equation:

\(cy-3y = 5d + 7
\)


2) We make the common factor "y" on the left side of the equation:


\(y(c-3) = 5d + 7
\)


3) We move to divide c-3 on the right side of the equation:

\(y = \frac{5d + 7 }{c-3}\)


Answer:

The value of y is given by:

\(y = \frac{5d + 7 }{c-3}\)