Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Mar 06, 2024

Solve for $y$ in the equation $\frac{y}{7} - 1 = 8$ .

STEP 1

Assumptions
1. We are given the equation $\frac{y}{7}-1=8$ .
2. We need to solve for $y$ .

STEP 2

First, we need to isolate the term containing $y$ on one side of the equation. We can do this by adding 1 to both sides of the equation to cancel out the -1 on the left side.
$\frac{y}{7}-1+1=8+1$

STEP 3

Perform the addition on both sides of the equation.
$\frac{y}{7}=9$

STEP 4

Now, we need to solve for $y$ . To do this, we can multiply both sides of the equation by 7 to cancel out the division by 7 on the left side.
$7 \times \frac{y}{7}=9 \times 7$

STEP 5

Perform the multiplication on both sides of the equation.
$y=63$
The solution to the equation $\frac{y}{7}-1=8$ is $y=63$ .

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