Question

example: solve each equation
e) $8(y + 4) - 2(y - 1) = 70 - 3y$

example: solve each equation
f) $3(6p - 1) = 11p - 45$

Explanation:

Step1: Expand left-hand side (e)

$8y + 32 - 2y + 2 = 70 - 3y$

Step2: Simplify left-hand side (e)

$6y + 34 = 70 - 3y$

Step3: Isolate y terms (e)

$6y + 3y = 70 - 34$

Step4: Solve for y (e)

$9y = 36 \implies y = \frac{36}{9} = 4$

Step5: Expand left-hand side (f)

$18p - 3 = 11p - 45$

Step6: Isolate p terms (f)

$18p - 11p = -45 + 3$

Step7: Solve for p (f)

$7p = -42 \implies p = \frac{-42}{7} = -6$

Answer:

For equation e): $y = 4$
For equation f): $p = -6$