Question

Determine the solution to the given equation.4 + 3y = 6y – 5

Answer 1

`y=3`

Step-by-step explanation:

Step 1. The expression we have is:

`4+3y=6y-5`

And we are required to find the solution; the value of y.

Step 2. To find the value of y, we need to have all of the terms that contain the variable on the same side of the equation. For this, we subtract 6y to both sides:

`4+3y-6y=-5`

Step 3. Also, we need all of the numbers on the opposite side that the variables are, so we subtract 4 to both sides:

`3y-6y=-5-4`

Step 4. Combine the like terms.

We combine the terms that contain y on the left side of the equation, and the numbers on the right side of the equation:

`-3y=-9`

Step 5. The last step will be to divide both sides of the equation by -3 in order to have only ''y'' on the left side:

`\begin{gathered} (-3y)/(-3)=(-9)/(-3) \\ \downarrow\downarrow \\ y=3 \end{gathered}`

The value of y is 3.

Answer:

`y=3`