Questions: Solve for y. 6 y = 12/7 Simplify your answer as much as possible. y =

Solution Steps

To solve for \( y \), divide both sides of the equation by 6: \[ 6y = \frac{12}{7} \] \[ y = \frac{12}{7} \div 6 \]

Dividing by 6 is the same as multiplying by \( \frac{1}{6} \): \[ y = \frac{12}{7} \times \frac{1}{6} \]

Multiply the numerators and denominators: \[ y = \frac{12 \times 1}{7 \times 6} = \frac{12}{42} \]

Reduce \( \frac{12}{42} \) by dividing the numerator and denominator by 6: \[ y = \frac{12 \div 6}{42 \div 6} = \frac{2}{7} \]

Final Answer