Answer
{-5}
Work Step by Step
3(3y - 1) = 4(3 + 3y)
Step 1 : Use distributive property
3.3y - 3.1 = 4.3 + 4.3y
simplify
9y - 3 = 12 + 12y
Step 2 : Collect variable terms on one side and constants on the other side.
subtract 12y from both the sides
9y - 3 - 12y = 12 + 12y - 12y
-3y -3 = 12
Add 3 on both the sides
-3y -3 +3 = 12+3
-3y = 15
Divide both the sides by -3
$\frac{-3y}{-3}$ = $\frac{15}{-3}$
y = -5
Now we check the proposed solution, -5 , by replacing y with -5 in the original equation.
Step 1: the original equation 3(3y - 1) = 4(3 + 3y)
Step2: Substitute -5 for y
3(3(-5) - 1) = 4(3 + 3(-5))
Step 3: Multiply 3(-5) = -15,
3(-15 -1) = 4(3-15)
Step 4: Solve
3(-16) = 4(-12)
Multiply 3(-16) = -48 , 4(-12) = -48
-48 = -48
Since the check results in true statement, we conclude that the solution set of the given equation is {-5}
