At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

solve for y in the equation[tex]3(y+2)=5y-4[/tex] and give the reason for each step in the process

Sagot :

Answer:

y=5

Step-by-step explanation:

[tex]3(y+2)=5y-4[/tex] : given

[tex]3y+6=5y-4[/tex]    : distributive property (multiply things in parentheses by the outer value of 3)

[tex]3y+10=5y[/tex]         : add 4 to both sides to isolate the right side y value

[tex]10=2y[/tex]                 : subtract 3y from both sides to further isolate "y" and the constant

[tex]y=5[/tex]                    : divide by 2 on both sides to get value for a single "y"