To solve the equation, isolate the variable on one side of the equation and all other constants on the other side. To accomplish this, perform the opposite operation to manipulate the equation.

First add seven to both sides.

Now divide by five on both sides.

Solve the following equation for y when 

Let's begin by rearranging the equation to get y by itself.

Next, just plug in 3 for z and solve.

So our answer is 

To divide, move the decimal point in both numbers two units to the right;

Solve the following equation for h, when l is equal to 5

Let's begin by substituting in 5 for l

Simplify

Next, move the twelve over:

Finally, we get:

The first step is to plug in your  value so your equation looks like, 

.  

Then you multiply   to get .  

Then you add  to get your final answer .

To solve for x, we want x to stand alone or be by itself.  So,

we want to get x to be by itself.  To do that, we need to move the .  To move it, we need to cancel it out.  To cancel it out, we must  (add 8).  If we add 8 on the left side of the equal sign, we must add 8 on the right side of the equal sign.  So,

To solve for x, we want to get x to stand alone or to be by itself.  

So, in the equation

we want x to be alone.  To do that, we need to cancel out the .  The  is being divided, so to cancel it out, we must multiply by .  If we multiply by  on the left side of the equation, we must multiply by  on the right side of the equation.  So,

Solve for g, when h is equal to 6.

Let's begin by plugging in 6 for h

If you are really observant, you might be able to see the answer already, but let's keep going:

We can say the following about the right hand of the equation.

So, we can rewrite the original as:

Therefore, without any further algebra, we can say that g=6. We know this, because they have the same exponent and no other terms to change either side.

So, our answer is 6

To solve for x, we want x to stand alone or be by itself.  In the equation

to solve for x, we need to move the .  To move the , we need to cancel it out.  The  and the x are multiplied together.  To cancel multiplication, we will divide.  In this case, we will divide by .

If we divide by  on the left side of the equal sign, we need to divide by  on the right side of the equation as well.  So,

To solve for the variable, perform the opposite operations to manipulate the equation so that the variable is isolated on one side of the equation and all other constants are on the other side of the equation.

First subtract five from each side. Recall that when a negative number is subtracted the negative signs cancel and it becomes addition.

Next, divide by negative one third. Recall that dividing by a fraction is the same of multiplying by its reciprocal.