1. The problem asks to identify which of the given expressions are equations. 2. An equation is a mathematical statement that asserts the equality of two expressions, typically containing an equals sign $=$. 3. Let's analyze each option: - $3y + 1 \leq y$: This is an inequality, not an equation, because it uses $\leq$ instead of $=$. - $x^2 + 4x + 6$: This is an expression, not an equation, as there is no equals sign. - $\frac{x - 1}{3} < 12$: This is an inequality, not an equation, because it uses $<$. - $4y + 3 = 18 + y$: This is an equation because it contains an equals sign $=$. - $\frac{w}{5} + z = 16$: This is an equation because it contains an equals sign $=$. - $\frac{14 + a}{2a + 1}$: This is an expression, not an equation, as there is no equals sign. 4. Therefore, the options that are equations are: $$4y + 3 = 18 + y$$ and $$\frac{w}{5} + z = 16$$