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$-10 = \\frac{y}{11} - 13$

Question

$-10 = \frac{y}{11} - 13$

Explanation:

Step1: Add 13 to both sides

To isolate the term with \( y \), we add 13 to both sides of the equation. This gives us:
\( -10 + 13=\frac{y}{11}-13 + 13 \)
Simplifying the left - hand side and the right - hand side, we have \( 3=\frac{y}{11} \)

Step2: Multiply both sides by 11

To solve for \( y \), we multiply both sides of the equation \( 3=\frac{y}{11} \) by 11. Using the property of equality \( a = \frac{b}{c}\Rightarrow b=a\times c \) (where \( a = 3 \), \( b = y \) and \( c = 11 \)), we get:
\( 3\times11=\frac{y}{11}\times11 \)
Simplifying both sides, we find that \( y = 33 \)

Answer:

\( y = 33 \)