Solve for Y: 20y + 8×2 - 7 = 14 Linear Equation

Solve the equation and find Y:

20×y+8×2−7=14 20\times y+8\times2-7=14

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve wherever possible according to the appendix and transfer the terms
00:06 Start with the multiplication operations
00:30 Continue with the subtraction operation
00:37 Subtract 9 from both sides in order to isolate the variable
01:05 Divide by 20 in order to determine Y
01:29 Reduce the numerator and denominator

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the equation and find Y:

20×y+8×2−7=14 20\times y+8\times2-7=14

2

Step-by-step solution

We begin by placing parentheses around the two multiplication exercises:

(20×y)+(8×2)−7=14 (20\times y)+(8\times2)-7=14

We then solve the exercises within the parentheses:

20y+16−7=14 20y+16-7=14

We simplify:

20y+9=14 20y+9=14

We move the sections:

20y=14−9 20y=14-9

20y=5 20y=5

We divide by 20:

y=520 y=\frac{5}{20}

y=55×4 y=\frac{5}{5\times4}

We simplify:

y=14 y=\frac{1}{4}

3

Final Answer

14 \frac{1}{4}

Practice Quiz

Test your knowledge with interactive questions

\( 100+5-100+5 \)

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Linear Equations (One Variable) questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations

Addition, Subtraction, Multiplication and Division

Numerical Comparison: Determining the Maximum Value in a Set
Click to solve
Mathematical Expression Comparison: Identifying Maximum Value Results
Click to solve

All Operations in the Order of Operations

Solve for y: 23-12×(-5)+y÷7+[21-4]=107 Order of Operations Challenge
Click to solve
Finding the Greatest Value: Maximum Value Comparison Problem
Click to solve

Solving Equations by using Addition/ Subtraction

Solve for X: (32-17)×4×9÷3-50÷x=170 Complex Equation
Click to solve
Solve the Equation: Finding the Missing Number in ?:(-6)+[-2(94-73)]=-153
Click to solve