toku
1.

To reverse the process of fastening or binding, restoring an object to its original unconnected state, such as untying a knot or unfastening a strap.

2.

To clarify or resolve confusion or complexity, often by breaking down problems or misunderstandings into more manageable parts for better understanding.

3.

To loosen or arrange tangled elements, such as combing out knotted hair or recovering from emotional tension.

4.

To remove restrictions or limitations, such as lifting a ban or releasing someone from a duty or obligation.

Example:

この医師はガンの多くの不可解な点を解こうと努力している。

ほどhodoku
1.

To separate or release objects that are tied, fastened, or bound together, restoring them to a state of being apart or untangled.

2.

To clarify or resolve a complex or puzzling situation, making previously unclear aspects understandable or visible.

3.

To loosen or alleviate emotional tension or misunderstandings, easing a person's feelings or state of mind.

4.

To break down a compact or solid form by adding a liquid, transforming it into a more fluid state.

Example:

これらの包みをほどくのを手伝って下さい。

yomitoku
1.

To interpret a complex text or coded message, extracting its intended meaning through careful analysis.

2.

To engage in a thorough examination of written content, unraveling intricate ideas and nuances for better comprehension.

3.

To decode and understand challenging materials, requiring attention and analytical thought to grasp the underlying concepts.

ひもと紐解himotoku
1.

To untie or unravel something, such as a scroll or a book, to access and comprehend its content.

2.

To engage in a careful examination or interpretation of written materials, often revealing deeper meanings or insights.

3.

To allow something to unfold or reveal itself gradually, akin to the blossoming of a flower or the opening of a bud.