Solve for yy.
minus, start fraction, y, divided by, 3, end fraction, plus, 19, equals, 33
− 
3
y
​
 +19=
33

To solve the equation for \( y \):

\[
-\frac{y}{3} + 19 = 33
\]

### Step 1: Isolate the term involving \( y \).

Subtract 19 from both sides of the equation:

\[
-\frac{y}{3} + 19 - 19 = 33 - 19
\]

This simplifies to:

\[
-\frac{y}{3} = 14
\]

### Step 2: Eliminate the fraction by multiplying both sides by -3.

Multiply both sides of the equation by \(-3\):

\[
y = 14 \times (-3)
\]

### Step 3: Simplify the result.

\[
y = -42
\]

So, the solution is \( y = -42 \).

Would you like more details or have any questions?

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Here are 8 related questions you might consider:

1. How do you solve an equation with a fraction?
2. What is the process of isolating a variable in an equation?
3. How can you verify the solution to an equation?
4. How do you solve equations with negative coefficients?
5. What are common mistakes to avoid when solving linear equations?
6. Can you solve similar equations with different constants?
7. How does multiplying both sides of an equation by a negative number affect the solution?
8. What are the steps to solve a multi-step equation?

**Tip:** Always check your solution by substituting it back into the original equation to ensure it satisfies the equation.

Learn how to solve the equation -y/3 + 19 = 33 step-by-step. This problem involves isolating variables in linear equations and dealing with fractions. Suitable for students in Grades 7-9.

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