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-5y +7/2y= -5 -3/2y - 4 solve for y

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6 votes

Answer:

no solution

Explanation:

-5y +7/2y= -5 -3/2y - 4 solve for y-example-1
User Manycheese
by
7.7k points
3 votes

Answer:

y=-4

Explanation:

To solve this equation for y, we need to get y by itself on one side of the equal sign. To do this, we will need to use the properties of equality to isolate the y term.

First, let's simplify the left side of the equation by combining like terms. We have:

-5y +7/2y = -5y + 7/2 * 1/2 * y

Next, we can combine the two y terms by adding them together. This gives us:

-5y +7/2y = -5y + 7/4 * y

Next, we can simplify the right side of the equation in the same way by combining like terms. We have:

-5y +7/2y = -5 -3/2y - 4

-5y +7/2y = -5 -3/2 * 1/2 * y - 4

-5y +7/2y = -5 -3/4 * y - 4

Now we can add the y terms on both sides of the equation to isolate y. We have:

-5y +7/2y = -5 -3/4 * y - 4

-5y + 7/4 * y = -5 - 3/4 * y - 4

Combining the y terms on the left side gives us:

(-5 + 7/4) * y = -5 - 3/4 * y - 4

We can simplify the coefficient of y on the left side of the equation by adding 5/4 and 7/4 to get 12/4, which simplifies to 3. This gives us:

3 * y = -5 - 3/4 * y - 4

Next, we can add 3/4 * y to both sides of the equation to get rid of the y term on the right side. We have:

3 * y = -5 + 3/4 * y - 4

3y= -9+3/4y

12y=-36+3y

9y=-36

/9 /9

y=-4

User Connor Hicks
by
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