What is the answer to (3(y-5))/4 =(-(y-3))/2 ?

The answer to (3(y-5))/4 =(-(y-3))/2 is y= 21/5

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(3(y-5))/4 =(-(y-3))/2

\frac{3 ( y - 5 )}{4} = \frac{- ( y - 3 )}{2}

y = \frac{21}{5}

Decimal Notation

y = 4.2

Solution steps

\frac{3 ( y - 5 )}{4} = \frac{- ( y - 3 )}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

3 (y - 5) \cdot 2 = 4 (- (y - 3))

Simplify

6 (y - 5) = - 4 (y - 3)

Expand

6 (y - 5) : 6 y - 30

Expand

- 4 (y - 3) : - 4 y + 12

6 y - 30 = - 4 y + 12

Move

30

to the right side

6 y = - 4 y + 42

Move

4 y

to the left side

10 y = 42

Divide both sides by

10

y = \frac{21}{5}

\frac{2 x + 4}{3} = \frac{x + 2}{6}

y, x = \frac{( y + 7 )}{7}

x, 6 y + x = 77

t (n) = 8 t (n - 1) + 15 t (n - 2)

x, x y^{3} - y (2 + y)^{2} = 2 x

What is the answer to (3(y-5))/4 =(-(y-3))/2 ?
The answer to (3(y-5))/4 =(-(y-3))/2 is y= 21/5
Solve for y: (3(y-5))/4 =(-(y-3))/2
The solution is y= 21/5