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Set up the equation for the following word problem and solve the equation. Let y be the unknown number.−46−46times a number minus1919is equal to8686less than the number.Step 1 of 2 :  Write out the equation

Question

Set up the equation for the following word problem and solve the equation. Let y be the unknown number.−46−46times a number minus1919is equal to8686less than the number.Step 1 of 2 :  Write out the equation

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Solution

The problem can be translated into the following equation:

-46y - 19 = y - 86

Step 2: Solve the equation

To solve for y, we first need to get all terms involving y on one side of the equation and the constants on the other side.

We can start by adding 46y to both sides of the equation to get rid of the -46y on the left side:

-46y + 46y - 19 = y - 86 + 46y

This simplifies to:

-19 = 47y - 86

Next, we add 86 to both sides to isolate the y term:

-19 + 86 = 47y - 86 + 86

This simplifies to:

67 = 47y

Finally, we divide both sides by 47 to solve for y:

67 / 47 = y

So, y = 67 / 47 or approximately 1.4255.

This problem has been solved

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