Question

Solve the equation for y.
−1 over 5y+3=−7

Answer 1

To solve the equation for y, you need to isolate the variable y.

Multiply both sides of the equation by (5y + 3) to get rid of the denominator on the left side:

−1/(5y + 3) * (5y + 3) = −7 * (5y + 3)

On the left side, the (5y + 3) terms cancel each other out, leaving -1:

-1 = −7 * (5y + 3)

Now, distribute the -7 on the right side:

-1 = -35y - 21

Add 35y to both sides to get the variable term on one side:

35y - 1 = -21

Add 1 to both sides:

35y = -20

Divide both sides by 35:

y = -20/35

This can be simplified to:

y = -4/7

Therefore, the solution to the equation is y = -4/7.