To simplify, you just condense all of the values with the same variable, based on the signs of those values.
In this example,
6y + 5z + 8y - 3z
is the same as
6y + 8y + 5z - 3z
which can be simplified to
14y + 2z
which is the answer to your question.
Hope that helped =)
Pythagorean theorem is

and using that sin is opposite/hypotenuse, you can find the third side of the triangle.

now you know adjacent is 60, so cos=60/61
Answer:
y=-8
Step-by-step explanation:
First, rewrite the equation in slope-intercept form:

Now just look at the slope-intercept form and your y-intercept is -8, and your slope is
.
If you don't know what slope-intercept form is it is y=mx+b where m is your slope and b is your y-intercept.
Hope this helps! :)