Question

Solve the equation.3(3y-1)-3(2y)=2

Answer 1

Given the equation:

3(3y-1)-3(2y)=2

To solve, the first step is to expand the parentheses:

`(3\ast3y)\text{ - (3}\ast1)\text{ - (3}\ast2y)\text{ = 2}`
`9y\text{ - 3 - 6y = 2}`

Now, collect the like terms on the left hand side of the equation:

`9y\text{ - 6y - 3 = 2}`
`3y\text{ - 3 = 2}`

Add 3 to both sides of the equation:

`3y\text{ - 3 + 3 = 2 + 3}`
`3y\text{ = 5}`

Now divide both sides by 3:

`(3y)/(3)\text{ = }(5)/(3)`
`\begin{gathered} y\text{ = }(5)/(3) \\ or\text{ } \\ y\text{ = 1.67} \end{gathered}`