Question

complete the process of solving the equation.
fill in all missing terms and select all missing descriptions. simplify any fractions.
$3(9y + 4) + 9y = 17y + 12$
$\square + 12 + 9y = 17y + 12$
$\square + 12 = 17y + 12$
$\square + 12 = 12$
$19y = \square$
$y = \square$

Explanation:

Step1: Apply distributive property

$3(9y + 4) = 27y + 12$, so the equation becomes:
$27y + 12 + 9y = 17y + 12$

Step2: Combine like terms

$27y + 9y = 36y$, so the equation becomes:
$36y + 12 = 17y + 12$

Step3: Subtract $17y$ from both sides

$36y - 17y = 19y$, so the equation becomes:
$19y + 12 = 12$

Step4: Subtract 12 from both sides

$12 - 12 = 0$, so the equation becomes:
$19y = 0$

Step5: Solve for $y$

Divide both sides by 19: $y = \frac{0}{19} = 0$

Answer:

1. Missing term: $\boldsymbol{27y}$; Description: Apply the distributive property
2. Missing term: $\boldsymbol{36y}$; Description: Combine like terms
3. Missing term: $\boldsymbol{19y}$; Description: Subtract $17y$ from both sides
4. Missing term: $\boldsymbol{0}$; Description: Subtract 12 from both sides
5. Missing term: $\boldsymbol{0}$; Description: Divide both sides by 19