19.5=2.5(7.5y-9.5)

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Solution for 19.5=2.5(7.5y-9.5) equation: 


Simplifying
19.5 = 2.5(7.5y + -9.5)

Reorder the terms:
19.5 = 2.5(-9.5 + 7.5y)
19.5 = (-9.5 * 2.5 + 7.5y * 2.5)
19.5 = (-23.75 + 18.75y)

Solving
19.5 = -23.75 + 18.75y

Solving for variable 'y'.

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

Add '-18.75y' to each side of the equation.
19.5 + -18.75y = -23.75 + 18.75y + -18.75y

Combine like terms: 18.75y + -18.75y = 0.00
19.5 + -18.75y = -23.75 + 0.00
19.5 + -18.75y = -23.75

Add '-19.5' to each side of the equation.
19.5 + -19.5 + -18.75y = -23.75 + -19.5

Combine like terms: 19.5 + -19.5 = 0.0
0.0 + -18.75y = -23.75 + -19.5
-18.75y = -23.75 + -19.5

Combine like terms: -23.75 + -19.5 = -43.25
-18.75y = -43.25

Divide each side by '-18.75'.
y = 2.306666667

Simplifying
y = 2.306666667

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