-4+4y+1=-6y-13+5y

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The height of the wooden block if it were to have a GPE of 300j

To solve the equation -4 + 4y + 1 = -6y - 13 + 5y, we can start by combining like terms on both sides of the equation.

On the left side, we have -4 and 1, which combine to give us -3. So, the left side of the equation becomes -3 + 4y.

On the right side, we have -6y, +5y, and -13. We can combine -6y and +5y to get -y. So, the right side of the equation becomes -y - 13.

Now, we have the equation -3 + 4y = -y - 13.

Next, we want to isolate the variable y by moving all the terms containing y to one side of the equation. Let's start by adding y to both sides of the equation.

This gives us -3 + 4y + y = -y - 13 + y.

Simplifying this further, we get -3 + 5y = -13.

To isolate y, we need to get rid of the -3 on the left side. We can do this by adding 3 to both sides of the equation.

-3 + 5y + 3 = -13 + 3.

Simplifying further, we get 5y = -10.

Finally, to solve for y, we divide both sides of the equation by 5.

5y/5 = -10/5.

Simplifying this further, we get y = -2.

Therefore, the solution to the equation -4 + 4y + 1 = -6y - 13 + 5y is y = -2.