### Video Transcript

Solve one-half minus ๐ฆ equals three-fourths for ๐ฆ.

First things first, copy down the equation. If we wanna isolate ๐ฆ and solve for ๐ฆ, weโll need to move everything else to the other side of the equation by subtracting one-half on the left and one-half on the right. Positive one-half minus one-half cancels out. That equals zero.

The left side now says negative ๐ฆ. And on the right side, we need to subtract one-half from three-fourths. We can rewrite one-half as a fraction with the denominator of four. Two over four is the same thing as one-half. Three-fourths minus two-fourths equals one-fourth. Negative ๐ฆ equals one-fourth.

But weโre looking for positive ๐ฆ. And that means we can multiply both sides by negative one. Negative one times negative ๐ฆ equals positive ๐ฆ. And one-fourth times negative one equals negative one-fourth.

๐ฆ equals negative one-fourth.