Question

this equation to make it easier to work with. then, solve
\frac{2}{3}(6 + 2y)=15 + y

Explanation:

Step1: Eliminate the fraction

Multiply both sides by 3:
$$3 \times \frac{2}{3}(6+2y) = 3 \times (15+y)$$
$$2(6+2y) = 45 + 3y$$

Step2: Expand the left side

Distribute the 2:
$$12 + 4y = 45 + 3y$$

Step3: Isolate y terms

Subtract $3y$ from both sides:
$$12 + 4y - 3y = 45 + 3y - 3y$$
$$12 + y = 45$$

Step4: Solve for y

Subtract 12 from both sides:
$$y = 45 - 12$$

Answer:

$y=33$