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