solve the equation to find y.

\5(8-y) = -(y-4)\

\y = \

Question

solve the equation to find y.

\5(8-y) = -(y-4)\

\y = \

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Equations", "Algebraic Simplification" ], "new_concepts": [], "current_concepts": [ "Linear Equations", "Algebraic Simplification" ] } ## Expand both sides of the equation $$ \begin{aligned} 5(8 - y) &= -(y - 4) \ 40 - 5y &= -y + 4 \end{aligned} $$ ## Isolate the variable terms $$ \begin{aligned} 40 - 4 &= -y + 5y \ 36 &= 4y \end{aligned} $$ ## Solve for y $$ \begin{aligned} y &= \frac{36}{4} \ y &= 9 \end{aligned} $$ Solve the equation to find $y$. $5(8-y) = -(y-4)$ $y =$ 9 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Expand both sides of the equation

Isolate the variable terms

Solve for y

Answer: