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julia-pushkina [17]
3 years ago
11

Y+9÷2=y-3÷4-(y/3)pls help​

Mathematics
2 answers:
faust18 [17]3 years ago
6 0

Step-by-step explanation:

There are 2 scenarios below. One without parenthesis and the second with. I believe the second one is your question.

  • y+9÷2=y-3÷4-(y/3)
  • y - y + y/3 = - 3/4 - 9/2               ⇒ combining like terms
  • y/3 = -3/4 - 18/4
  • y/3 = -21/4
  • y = -21/4*3
  • y = -63/4
  • y = - 15 3/4

===============

  • (y+9)÷2=(y-3)÷4-(y/3)
  • 12*(y+9)/2 = 12* (y-3)/4 - 12*y/3      ⇒ this is to get rid of fraction
  • 6(y+9) = 3(y-3) - 4y
  • 6y + 54 = 3y - 9 - 4y
  • 6y + 54 = - y - 9
  • 6y + y = - 9 - 54
  • 7y = - 63
  • 7y/7 = -63/7
  • y = -9
Ann [662]3 years ago
3 0

Answer:

y = - \frac{63}{4} or - 15.75

Step-by-step explanation:

Order of operations.

y + \frac{9}{2} = y - \frac{3}{4} - \frac{y}{3} Subtract y from each side.

y - y + \frac{9}{2} = y - y - \frac{3}{4} - \frac{y}{3}

\frac{9}{2} =  - \frac{3}{4} - \frac{y}{3}   Add \frac{3}{4} to each side

\frac{9}{2} + \frac{3}{4} = - \frac{3}{4} + \frac{3}{4} - \frac{y}{3}

\frac{9}{2} + \frac{3}{4} = - \frac{y}{3}    Find the common denominator for \frac{9}{2} and \frac{3}{4}, which is 4

\frac{9}{2} * \frac{2}{2} + \frac{3}{4} = - \frac{y}{3}

\frac{18}{4} + \frac{3}{4} = - \frac{y}{3}

\frac{21}{4} = - \frac{y}{3}   Multiply each side by 3

\frac{21}{4}  * 3 = - \frac{y}{3} * 3

\frac{63}{4} = - y      Divide each side by -1

y = - \frac{63}{4} = - 15 \frac{3}{4}

y = - 15.75

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