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

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


Simplifying
-1(3y + 4z) = 6z + -3(3y + 2) + 5z
(3y * -1 + 4z * -1) = 6z + -3(3y + 2) + 5z
(-3y + -4z) = 6z + -3(3y + 2) + 5z

Reorder the terms:
-3y + -4z = 6z + -3(2 + 3y) + 5z
-3y + -4z = 6z + (2 * -3 + 3y * -3) + 5z
-3y + -4z = 6z + (-6 + -9y) + 5z

Reorder the terms:
-3y + -4z = -6 + -9y + 6z + 5z

Combine like terms: 6z + 5z = 11z
-3y + -4z = -6 + -9y + 11z

Solving
-3y + -4z = -6 + -9y + 11z

Solving for variable 'y'.

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

Add '9y' to each side of the equation.
-3y + 9y + -4z = -6 + -9y + 9y + 11z

Combine like terms: -3y + 9y = 6y
6y + -4z = -6 + -9y + 9y + 11z

Combine like terms: -9y + 9y = 0
6y + -4z = -6 + 0 + 11z
6y + -4z = -6 + 11z

Add '4z' to each side of the equation.
6y + -4z + 4z = -6 + 11z + 4z

Combine like terms: -4z + 4z = 0
6y + 0 = -6 + 11z + 4z
6y = -6 + 11z + 4z

Combine like terms: 11z + 4z = 15z
6y = -6 + 15z

Divide each side by '6'.
y = -1 + 2.5z

Simplifying
y = -1 + 2.5z

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