q. solve for $y$.

\y + 5 = \frac{2y - 8}{4}\

a. 2
b. 6
c. -8
d. -14

Question

q. solve for $y$.

\y + 5 = \frac{2y - 8}{4}\

a. 2
b. 6
c. -8
d. -14

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Solving Multi-Step Equations" ], "new_concepts": [], "current_concepts": [ "Solving Multi-Step Equations", "Linear Equations" ] } ## Clear the fraction Using the *Solving Multi-Step Equations* knowledge point $$ \begin{aligned} 4(y + 5) &= 2y - 8 \end{aligned} $$ ## Expand the left side Using the *Solving Multi-Step Equations* knowledge point $$ \begin{aligned} 4y + 20 &= 2y - 8 \end{aligned} $$ ## Isolate the variable terms Using the *Solving Multi-Step Equations* knowledge point $$ \begin{aligned} 4y - 2y &= -8 - 20\ 2y &= -28 \end{aligned} $$ ## Solve for y Using the *Solving Multi-Step Equations* knowledge point $$ \begin{aligned} y &= \frac{-28}{2}\ y &= -14 \end{aligned} $$

A. 2

B. 6

C. -8

D. -14

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Solving Multi-Step Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Clear the fraction

Expand the left side

Isolate the variable terms

Solve for y

Answer: