5+4y+6z=10x-4z+7

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Solution for 5+4y+6z=10x-4z+7 equation:


Simplifying
5 + 4y + 6z = 10x + -4z + 7

Reorder the terms:
5 + 4y + 6z = 7 + 10x + -4z

Solving
5 + 4y + 6z = 7 + 10x + -4z

Solving for variable 'y'.

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

Add '-5' to each side of the equation.
5 + 4y + -5 + 6z = 7 + 10x + -5 + -4z

Reorder the terms:
5 + -5 + 4y + 6z = 7 + 10x + -5 + -4z

Combine like terms: 5 + -5 = 0
0 + 4y + 6z = 7 + 10x + -5 + -4z
4y + 6z = 7 + 10x + -5 + -4z

Reorder the terms:
4y + 6z = 7 + -5 + 10x + -4z

Combine like terms: 7 + -5 = 2
4y + 6z = 2 + 10x + -4z

Add '-6z' to each side of the equation.
4y + 6z + -6z = 2 + 10x + -4z + -6z

Combine like terms: 6z + -6z = 0
4y + 0 = 2 + 10x + -4z + -6z
4y = 2 + 10x + -4z + -6z

Combine like terms: -4z + -6z = -10z
4y = 2 + 10x + -10z

Divide each side by '4'.
y = 0.5 + 2.5x + -2.5z

Simplifying
y = 0.5 + 2.5x + -2.5z

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