3(-y-2z)-5(5z-7y)=

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Solution for 3(-y-2z)-5(5z-7y)= equation:


Simplifying
3(-1y + -2z) + -5(5z + -7y) = 0
(-1y * 3 + -2z * 3) + -5(5z + -7y) = 0
(-3y + -6z) + -5(5z + -7y) = 0

Reorder the terms:
-3y + -6z + -5(-7y + 5z) = 0
-3y + -6z + (-7y * -5 + 5z * -5) = 0
-3y + -6z + (35y + -25z) = 0

Reorder the terms:
-3y + 35y + -6z + -25z = 0

Combine like terms: -3y + 35y = 32y
32y + -6z + -25z = 0

Combine like terms: -6z + -25z = -31z
32y + -31z = 0

Solving
32y + -31z = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '31z' to each side of the equation.
32y + -31z + 31z = 0 + 31z

Combine like terms: -31z + 31z = 0
32y + 0 = 0 + 31z
32y = 0 + 31z
Remove the zero:
32y = 31z

Divide each side by '32'.
y = 0.96875z

Simplifying
y = 0.96875z

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