8y-3z+2=10y+5z-2

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Solution for 8y-3z+2=10y+5z-2 equation:


Simplifying
8y + -3z + 2 = 10y + 5z + -2

Reorder the terms:
2 + 8y + -3z = 10y + 5z + -2

Reorder the terms:
2 + 8y + -3z = -2 + 10y + 5z

Solving
2 + 8y + -3z = -2 + 10y + 5z

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
2 + 8y + -10y + -3z = -2 + 10y + -10y + 5z

Combine like terms: 8y + -10y = -2y
2 + -2y + -3z = -2 + 10y + -10y + 5z

Combine like terms: 10y + -10y = 0
2 + -2y + -3z = -2 + 0 + 5z
2 + -2y + -3z = -2 + 5z

Add '-2' to each side of the equation.
2 + -2y + -2 + -3z = -2 + -2 + 5z

Reorder the terms:
2 + -2 + -2y + -3z = -2 + -2 + 5z

Combine like terms: 2 + -2 = 0
0 + -2y + -3z = -2 + -2 + 5z
-2y + -3z = -2 + -2 + 5z

Combine like terms: -2 + -2 = -4
-2y + -3z = -4 + 5z

Add '3z' to each side of the equation.
-2y + -3z + 3z = -4 + 5z + 3z

Combine like terms: -3z + 3z = 0
-2y + 0 = -4 + 5z + 3z
-2y = -4 + 5z + 3z

Combine like terms: 5z + 3z = 8z
-2y = -4 + 8z

Divide each side by '-2'.
y = 2 + -4z

Simplifying
y = 2 + -4z

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