18.5-8.5y=9(2y+5)

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Solution for 18.5-8.5y=9(2y+5) equation:


Simplifying
18.5 + -8.5y = 9(2y + 5)

Reorder the terms:
18.5 + -8.5y = 9(5 + 2y)
18.5 + -8.5y = (5 * 9 + 2y * 9)
18.5 + -8.5y = (45 + 18y)

Solving
18.5 + -8.5y = 45 + 18y

Solving for variable 'y'.

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

Add '-18y' to each side of the equation.
18.5 + -8.5y + -18y = 45 + 18y + -18y

Combine like terms: -8.5y + -18y = -26.5y
18.5 + -26.5y = 45 + 18y + -18y

Combine like terms: 18y + -18y = 0
18.5 + -26.5y = 45 + 0
18.5 + -26.5y = 45

Add '-18.5' to each side of the equation.
18.5 + -18.5 + -26.5y = 45 + -18.5

Combine like terms: 18.5 + -18.5 = 0.0
0.0 + -26.5y = 45 + -18.5
-26.5y = 45 + -18.5

Combine like terms: 45 + -18.5 = 26.5
-26.5y = 26.5

Divide each side by '-26.5'.
y = -1

Simplifying
y = -1

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