solve using the principles together. check your answer.
\5y - 6 = 29 - 2y\

the solution is $y = \square$.
(type an integer or a simplified fraction.)

Question

solve using the principles together. check your answer.
\5y - 6 = 29 - 2y\

the solution is $y = \square$.
(type an integer or a simplified fraction.)

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": [ "Linear Equations" ], "new_concepts": [], "current_concepts": [ "Linear Equations" ] } ## Isolate the variable terms Using the *Linear Equations* knowledge point $$ \begin{aligned} 5y - 6 &= 29 - 2y \ 5y + 2y - 6 &= 29 \ 7y - 6 &= 29 \end{aligned} $$ ## Isolate the constant terms Using the *Linear Equations* knowledge point $$ \begin{aligned} 7y - 6 + 6 &= 29 + 6 \ 7y &= 35 \end{aligned} $$ ## Solve for y Using the *Linear Equations* knowledge point $$ \begin{aligned} y &= \frac{35}{7} \ y &= 5 \end{aligned} $$ ## Check the solution Using the *Linear Equations* knowledge point $$ \begin{aligned} \text{Left Side: } &5(5) - 6 = 25 - 6 = 19 \ \text{Right Side: } &29 - 2(5) = 29 - 10 = 19 \end{aligned} $$ Solve using the principles together. Check your answer. $5y - 6 = 29 - 2y$ The solution is $y =$ 5. (Type an integer or a simplified fraction.) { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Linear Equations" ] }

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Question

Explanation:

Isolate the variable terms

Isolate the constant terms

Solve for y

Check the solution

Answer: