solve the equation to find y.

\7(y-1) = 5(y+3)\

\y = \underline{\quad}\

Question

solve the equation to find y.

\7(y-1) = 5(y+3)\

\y = \underline{\quad}\

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 $$ \begin{aligned} 7(y - 1) &= 5(y + 3) \ 7y - 7 &= 5y + 15 \end{aligned} $$ ## Isolate the variable terms $$ \begin{aligned} 7y - 5y &= 15 + 7 \ 2y &= 22 \end{aligned} $$ ## Solve for y $$ \begin{aligned} y &= \frac{22}{2} \ y &= 11 \end{aligned} $$ Solve the equation to find $y$. $7(y-1) = 5(y+3)$ $y =$ 11 { "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: