What is the answer to (3+y)/4 =(-y)/8 ?

The answer to (3+y)/4 =(-y)/8 is y=-2

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(3+y)/4 =(-y)/8

\frac{3 + y}{4} = \frac{- y}{8}

y = - 2

Solution steps

\frac{3 + y}{4} = \frac{- y}{8}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

(3 + y) \cdot 8 = 4 (- y)

Simplify

(3 + y) \cdot 8 = - 4 y

Expand

(3 + y) \cdot 8 : 24 + 8 y

24 + 8 y = - 4 y

Move

24

to the right side

8 y = - 4 y - 24

Move

4 y

to the left side

12 y = - 24

Divide both sides by

12

y = - 2

\frac{1}{2} (q + 1) = \frac{4}{3} - q

\frac{a}{d} = j

a, \frac{a}{d} = G

23.65 (v - 4) = 6.35

x, 10 x + 5 y = - 5