6y-5(-3z+3y)+3z=

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Solution for 6y-5(-3z+3y)+3z= equation:


Simplifying
6y + -5(-3z + 3y) + 3z = 0

Reorder the terms:
6y + -5(3y + -3z) + 3z = 0
6y + (3y * -5 + -3z * -5) + 3z = 0
6y + (-15y + 15z) + 3z = 0

Combine like terms: 6y + -15y = -9y
-9y + 15z + 3z = 0

Combine like terms: 15z + 3z = 18z
-9y + 18z = 0

Solving
-9y + 18z = 0

Solving for variable 'y'.

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

Add '-18z' to each side of the equation.
-9y + 18z + -18z = 0 + -18z

Combine like terms: 18z + -18z = 0
-9y + 0 = 0 + -18z
-9y = 0 + -18z
Remove the zero:
-9y = -18z

Divide each side by '-9'.
y = 2z

Simplifying
y = 2z

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