Willow1987
Answered

Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

-4y + 7 = 35y - 6
Need Help

Sagot :

Answer:

[tex]y=\frac{1}{3}[/tex]

Step-by-step explanation:

Subtract [tex]7[/tex] from both sides of the equation:

[tex]-4y+7=35y-6[/tex]

[tex]-4y+7[/tex][tex]-7=35y-6[/tex][tex]-7[/tex]

Simplify:

  • Subtract the numbers:

[tex]-4y+7[/tex][tex]-7=35y-6-7[/tex]

[tex]-4y=35y-6-7[/tex]

  • Subtract the numbers:

[tex]-4y=35y[/tex][tex]-6[/tex][tex]-7[/tex]

[tex]-4=35y[/tex][tex]-13[/tex]

[tex]-4y=35y-13[/tex]

Subtract [tex]35y[/tex] from both sides of the equation:

[tex]-4y=35y-13[/tex]

[tex]-4y[/tex][tex]-35y=35y-13[/tex][tex]-35y[/tex]

Simplify:

  • Combine like terms:

[tex]-4[/tex][tex]-35y=35y-13-35y[/tex]

[tex]-39y=35y-13-35y[/tex]

  • Combine like terms:

[tex]-39y=35y-13[/tex][tex]-35y[/tex]

[tex]-39y=-13[/tex]

[tex]-39y=-13[/tex]

Divide both sides of the equation by the same term:

[tex]-39y=-13[/tex]

[tex]\frac{-39y}{-39} =\frac{-13}{-39}[/tex]

Simplify:

  • Cancel terms that are in both the numerator and denominator:

[tex]\frac{-39y}{-39} =\frac{-13}{-39}[/tex]

[tex]y=\frac{-13}{-39}[/tex]

  • Divide the numbers:

[tex]y=\frac{-13}{-39}[/tex]

[tex]y=\frac{1}{3}[/tex]

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.