-3(9+-2y+2.5z)+5y+2z=-27

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Solution for -3(9+-2y+2.5z)+5y+2z=-27 equation:


Simplifying
-3(9 + -2y + 2.5z) + 5y + 2z = -27
(9 * -3 + -2y * -3 + 2.5z * -3) + 5y + 2z = -27
(-27 + 6y + -7.5z) + 5y + 2z = -27

Reorder the terms:
-27 + 6y + 5y + -7.5z + 2z = -27

Combine like terms: 6y + 5y = 11y
-27 + 11y + -7.5z + 2z = -27

Combine like terms: -7.5z + 2z = -5.5z
-27 + 11y + -5.5z = -27

Add '27' to each side of the equation.
-27 + 11y + 27 + -5.5z = -27 + 27

Reorder the terms:
-27 + 27 + 11y + -5.5z = -27 + 27

Combine like terms: -27 + 27 = 0
0 + 11y + -5.5z = -27 + 27
11y + -5.5z = -27 + 27

Combine like terms: -27 + 27 = 0
11y + -5.5z = 0

Solving
11y + -5.5z = 0

Solving for variable 'y'.

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

Add '5.5z' to each side of the equation.
11y + -5.5z + 5.5z = 0 + 5.5z

Combine like terms: -5.5z + 5.5z = 0.0
11y + 0.0 = 0 + 5.5z
11y = 0 + 5.5z
Remove the zero:
11y = 5.5z

Divide each side by '11'.
y = 0.5z

Simplifying
y = 0.5z

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