q. solve: $-4(y - 1) = 40$

$y = \underline{\quad\quad}$

Question

q. solve: $-4(y - 1) = 40$

$y = \underline{\quad\quad}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Distributive Property", "Solving Multi-Step Equations" ], "new_concepts": [], "current_concepts": [ "Distributive Property", "Solving Multi-Step Equations", "Integer Operations" ] } ## Apply the distributive property Using the *Distributive Property* knowledge point $$ \begin{aligned} &-4(y - 1) = 40 \ &-4y + 4 = 40 \end{aligned} $$ ## Isolate the variable term Using the *Solving Multi-Step Equations* knowledge point $$ \begin{aligned} &-4y + 4 - 4 = 40 - 4 \ &-4y = 36 \end{aligned} $$ ## Solve for y Using the *Solving Multi-Step Equations* and *Integer Operations* knowledge points $$ \begin{aligned} &\frac{-4y}{-4} = \frac{36}{-4} \ &y = -9 \end{aligned} $$ Solve: $-4(y - 1) = 40$ $y =$ -9 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Solving Multi-Step Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Apply the distributive property

Isolate the variable term

Solve for y

Answer: