Solve one-half minus 𝑦 equals three-fourths for 𝑦.
First things first, copy down the equation. If we wanna isolate 𝑦 and solve for 𝑦, we’ll 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 𝑦. 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 𝑦 equals one-fourth.
But we’re looking for positive 𝑦. And that means we can multiply both sides by negative one. Negative one times negative 𝑦 equals positive 𝑦. And one-fourth times negative one equals negative one-fourth.
𝑦 equals negative one-fourth.