solve the equation.

(y + 6 = -3y + 26)

* (y = -8)
* (y = -5)
* (y = 5)
* (y = 8)

Question

solve the equation.

(y + 6 = -3y + 26)

* (y = -8)
* (y = -5)
* (y = 5)
* (y = 8)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Equations", "Combining Like Terms", "Properties of Equality" ], "new_concepts": [], "current_concepts": [ "Linear Equations", "Combining Like Terms", "Properties of Equality" ] } ## Move variable terms to one side $$ \begin{aligned} y + 6 &= -3y + 26 \ y + 3y + 6 &= 26 \ 4y + 6 &= 26 \end{aligned} $$ ## Isolate the variable term $$ \begin{aligned} 4y &= 26 - 6 \ 4y &= 20 \end{aligned} $$ ## Solve for y $$ \begin{aligned} y &= \frac{20}{4} \ y &= 5 \end{aligned} $$

(A) $y = -8$

(B) $y = -5$

(C) $y = 5$

(D) $y = 8$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Move variable terms to one side

Isolate the variable term

Solve for y

Answer: