Questions: 4(4y-3)-(y-5)=-52

4(4y-3)-(y-5)=-52
Transcript text: $4(4 y-3)-(y-5)=-52$
failed

Solution

failed
failed

Solution Steps

To solve the equation \(4(4y - 3) - (y - 5) = -52\), we need to follow these steps:

  1. Distribute the constants inside the parentheses.
  2. Combine like terms.
  3. Isolate the variable \(y\) by performing algebraic operations.
Step 1: Distribute the Constants

First, distribute the constants inside the parentheses: \[ 4(4y - 3) - (y - 5) = -52 \] \[ 16y - 12 - y + 5 = -52 \]

Step 2: Combine Like Terms

Combine the like terms on the left-hand side: \[ (16y - y) + (-12 + 5) = -52 \] \[ 15y - 7 = -52 \]

Step 3: Isolate the Variable \( y \)

Add 7 to both sides of the equation to isolate the term with \( y \): \[ 15y - 7 + 7 = -52 + 7 \] \[ 15y = -45 \]

Step 4: Solve for \( y \)

Divide both sides by 15 to solve for \( y \): \[ y = \frac{-45}{15} \] \[ y = -3 \]

Final Answer

\(\boxed{y = -3}\)

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
The element with an electron configuration of 1s^2 2s^2 2p^6 3s^2 3p^6 4s^2 3d^8 is in group and period . The element with an electron configuration of 1s^2 2s^2 2p^6 is in group and period .
failedAnswered
If the differential equation [ m fracd^2 xd t^2+5 fracd xd t+2 x=0 ] is overdamped, the range of values for m is?
failedAnswered
Solve the system by substitution. Verify your solution by checking that it satisfies both equations of the system. 3x + 4y = 8 x - 3y = -6
failedAnswered
State whether the sentence is a statement or not. Go with the flow.
failedAnswered
At t=0 s, the number of Y particles is the number of A particles. At t=60 s, the number of the Z particles is the number of B particles. Therefore, the number of Y particles turned into Z particles is the number of A particles turned to B particles for the same amount of time. Therefore, the rate of reaction Y → Z is the rate of the reaction A → B.