Parametric Equations|Please help!

Question

What is the solution to the given problem?

3( 1/2 - y ) = 3/5 + 15y

Answer 1

3(1/2 - y) = 3/5 +15y

divide by 3

1/2 - y = 1/5 +5y

combine like terms

6y = 1/2-1/5 = 3/10

6y = 3/10

divide by 3

2y = 1/10

divide by 2

y = 1/20 = 0.05

Answer 2

3( 1/2 - y) = 3/5 + 15y

Distribute 3 on the left hand side.

3/2 - 3y = 3/5 + 15y

To get rid of the fractions, you can multiply each term by the LCD of 2 and 5. The Least Common Multiple of 2 and 5 is 10.

10(3/2 - 3y) = 10(3/5 + 15y)

15 - 30y = 6 + 150y

15 - 30y + 30y = 6 + 150 + 30y

15 = 6 + 180y

Keep going. Let me know if you need more help.

Answer 3

Start by distributing the 3 to both terms inside the parentheses on the left-hand side. This will simplify that part of the equation. After distributing, rewrite the entire equation in a cleaner form so both sides are as simple as possible.

Next, move all the terms that contain the variable y to one side of the equation, and move the constant numbers to the other side. This helps you isolate the variable.

Finally, once everything is simplified and all the y terms are on one side, solve for y by dividing.

Let me know when you have your simplified version, and I can check it for you!