\begin{tabular}{|l|l|}\hline 1. \( m+12=10 \) & 2. \( -2=g-9 \) \\ \hline 3. \( -7 y=-91 \) & 4. \( \frac{a}{9}=-4 \) \\ \hline\end{tabular}

Solve the equation by following steps: - step0: Solve for \(y\): \(-7y=-91\) - step1: Change the signs: \(7y=91\) - step2: Divide both sides: \(\frac{7y}{7}=\frac{91}{7}\) - step3: Divide the numbers: \(y=13\) Solve the equation \( \frac{a}{9}=-4 \). Solve the equation by following steps: - step0: Solve for \(a\): \(\frac{a}{9}=-4\) - step1: Cross multiply: \(a=9\left(-4\right)\) - step2: Simplify the equation: \(a=-36\) Solve the equation \( -2=g-9 \). Solve the equation by following steps: - step0: Solve for \(g\): \(-2=g-9\) - step1: Swap the sides: \(g-9=-2\) - step2: Move the constant to the right side: \(g=-2+9\) - step3: Add the numbers: \(g=7\) Solve the equation \( m+12=10 \). Solve the equation by following steps: - step0: Solve for \(m\): \(m+12=10\) - step1: Move the constant to the right side: \(m=10-12\) - step2: Subtract the numbers: \(m=-2\) Here are the solutions for each equation: 1. For the equation \( m + 12 = 10 \): - Subtract 12 from both sides: \[ m = 10 - 12 \] - Therefore, \( m = -2 \). 2. For the equation \( -2 = g - 9 \): - Add 9 to both sides: \[ g = -2 + 9 \] - Therefore, \( g = 7 \). 3. For the equation \( -7y = -91 \): - Divide both sides by -7: \[ y = \frac{-91}{-7} \] - Therefore, \( y = 13 \). 4. For the equation \( \frac{a}{9} = -4 \): - Multiply both sides by 9: \[ a = -4 \times 9 \] - Therefore, \( a = -36 \). In summary, the solutions are: - \( m = -2 \) - \( g = 7 \) - \( y = 13 \) - \( a = -36 \)