Questions: Complete the process of solving the equation. Fill in all missing terms and select all missing descriptions. Simplify any fractions. -5(6 y-15)+1 = -14 -30 y+75+1 = -14 -30 y+76 = -14 -30 y = □ y = Add -5 to both sides Subtract -5 from both sides Multiply both sides by -5 Divide both sides by -5 Apply the distributive property Divide both sides by -30

Solution Steps

To solve the equation, we first apply the distributive property to expand the expression on the left side. Then, we combine like terms and isolate the variable term by moving constants to the other side of the equation. Finally, we solve for the variable by dividing both sides by the coefficient of the variable.

Start with the equation: \[ -5(6y - 15) + 1 = -14 \] Apply the distributive property: \[ -5 \times 6y + (-5) \times (-15) + 1 = -14 \] This simplifies to: \[ -30y + 75 + 1 = -14 \]

Combine the constant terms on the left side: \[ -30y + 76 = -14 \]

Subtract 76 from both sides to isolate the term with \( y \): \[ -30y = -14 - 76 \] Simplify the right side: \[ -30y = -90 \]

Divide both sides by \(-30\) to solve for \( y \): \[ y = \frac{-90}{-30} \] Simplify the fraction: \[ y = 3 \]

Final Answer