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Verified Answer :

V(j + y) = 61y + 82
Vj + Vy = 61y + 82
Vy - 61y = 82 - Vj
y(V - 61) = 82 - Vj
y = (82 - Vj)/(V - 61)

Answer:

\(y = \frac{82-Vj}{V-61}\)

Step-by-step explanation:

Given the equation: \(V(j+y)= 61y+82\)

Solve for y:

The distributive property says:

\(x \cdot (y+z) = x\cdot y+ x\cdot z\)

Apply the distributive property on a given equation we have;

\(Vj+Vy= 61y+82\)

Subtract 61y from both sides we get;

\(Vj+Vy-61y=82\)

Subtract vj from both sides we get;

\(Vy-61y= 82-Vj\)

or

\(y(V-61)= 82-Vj\)

Divide both sides by v-61 we get;

\(y = \frac{82-Vj}{V-61}\)

Therefore, the value of y is: \(y = \frac{82-Vj}{V-61}\)