Solve the Linear Equation: -7y = -27 Step by Step

To solve the equation $-7y = -27$, we need to isolate the variable $y$. We do this by performing the following steps:

• Step 1: Divide both sides of the equation by $-7$ to solve for $y$.

Performing this operation gives us:

$-7y \div (-7) = -27 \div (-7)$

Simplifying both sides, we have:

$y = \frac{27}{7}$

To express $\frac{27}{7}$ as a mixed number, we divide 27 by 7:

• 27 divided by 7 equals 3 with a remainder of 6. Hence, $\frac{27}{7} = 3\frac{6}{7}$.

Therefore, the solution to the equation is $y = 3\frac{6}{7}$.

Among the given choices, option 1 matches our result.

Therefore, the solution to the problem is $y = 3\frac{6}{7}$.