Question

solve. $\frac{1}{4}(y + 3) - 8 = 11$

Explanation:

Step1: Isolate the fractional term

Add 8 to both sides.
$$\frac{1}{4}(y+3) - 8 + 8 = 11 + 8$$
$$\frac{1}{4}(y+3) = 19$$

Step2: Eliminate the fraction

Multiply both sides by 4.
$$4 \times \frac{1}{4}(y+3) = 19 \times 4$$
$$y+3 = 76$$

Step3: Solve for y

Subtract 3 from both sides.
$$y+3 - 3 = 76 - 3$$
$$y = 73$$

Answer:

$y=73$