8y+z-29=4z+y-33

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Solution for 8y+z-29=4z+y-33 equation:


Simplifying
8y + z + -29 = 4z + y + -33

Reorder the terms:
-29 + 8y + z = 4z + y + -33

Reorder the terms:
-29 + 8y + z = -33 + y + 4z

Solving
-29 + 8y + z = -33 + y + 4z

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-29 + 8y + -1y + z = -33 + y + -1y + 4z

Combine like terms: 8y + -1y = 7y
-29 + 7y + z = -33 + y + -1y + 4z

Combine like terms: y + -1y = 0
-29 + 7y + z = -33 + 0 + 4z
-29 + 7y + z = -33 + 4z

Add '29' to each side of the equation.
-29 + 7y + 29 + z = -33 + 29 + 4z

Reorder the terms:
-29 + 29 + 7y + z = -33 + 29 + 4z

Combine like terms: -29 + 29 = 0
0 + 7y + z = -33 + 29 + 4z
7y + z = -33 + 29 + 4z

Combine like terms: -33 + 29 = -4
7y + z = -4 + 4z

Add '-1z' to each side of the equation.
7y + z + -1z = -4 + 4z + -1z

Combine like terms: z + -1z = 0
7y + 0 = -4 + 4z + -1z
7y = -4 + 4z + -1z

Combine like terms: 4z + -1z = 3z
7y = -4 + 3z

Divide each side by '7'.
y = -0.5714285714 + 0.4285714286z

Simplifying
y = -0.5714285714 + 0.4285714286z

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