6y-3(-2z+4)-5z=

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Solution for 6y-3(-2z+4)-5z= equation: 


Simplifying
6y + -3(-2z + 4) + -5z = 0

Reorder the terms:
6y + -3(4 + -2z) + -5z = 0
6y + (4 * -3 + -2z * -3) + -5z = 0
6y + (-12 + 6z) + -5z = 0

Reorder the terms:
-12 + 6y + 6z + -5z = 0

Combine like terms: 6z + -5z = 1z
-12 + 6y + 1z = 0

Solving
-12 + 6y + 1z = 0

Solving for variable 'y'.

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

Add '12' to each side of the equation.
-12 + 6y + 12 + 1z = 0 + 12

Reorder the terms:
-12 + 12 + 6y + 1z = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 6y + 1z = 0 + 12
6y + 1z = 0 + 12

Combine like terms: 0 + 12 = 12
6y + 1z = 12

Add '-1z' to each side of the equation.
6y + 1z + -1z = 12 + -1z

Combine like terms: 1z + -1z = 0
6y + 0 = 12 + -1z
6y = 12 + -1z

Divide each side by '6'.
y = 2 + -0.1666666667z

Simplifying
y = 2 + -0.1666666667z

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