5(2y-4)=9(z+5)

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Solution for 5(2y-4)=9(z+5) equation:


Simplifying
5(2y + -4) = 9(z + 5)

Reorder the terms:
5(-4 + 2y) = 9(z + 5)
(-4 * 5 + 2y * 5) = 9(z + 5)
(-20 + 10y) = 9(z + 5)

Reorder the terms:
-20 + 10y = 9(5 + z)
-20 + 10y = (5 * 9 + z * 9)
-20 + 10y = (45 + 9z)

Solving
-20 + 10y = 45 + 9z

Solving for variable 'y'.

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

Add '20' to each side of the equation.
-20 + 20 + 10y = 45 + 20 + 9z

Combine like terms: -20 + 20 = 0
0 + 10y = 45 + 20 + 9z
10y = 45 + 20 + 9z

Combine like terms: 45 + 20 = 65
10y = 65 + 9z

Divide each side by '10'.
y = 6.5 + 0.9z

Simplifying
y = 6.5 + 0.9z

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