17.5=2.5(7.5y-8)

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Solution for 17.5=2.5(7.5y-8) equation: 


Simplifying
17.5 = 2.5(7.5y + -8)

Reorder the terms:
17.5 = 2.5(-8 + 7.5y)
17.5 = (-8 * 2.5 + 7.5y * 2.5)
17.5 = (-20 + 18.75y)

Solving
17.5 = -20 + 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.
17.5 + -18.75y = -20 + 18.75y + -18.75y

Combine like terms: 18.75y + -18.75y = 0.00
17.5 + -18.75y = -20 + 0.00
17.5 + -18.75y = -20

Add '-17.5' to each side of the equation.
17.5 + -17.5 + -18.75y = -20 + -17.5

Combine like terms: 17.5 + -17.5 = 0.0
0.0 + -18.75y = -20 + -17.5
-18.75y = -20 + -17.5

Combine like terms: -20 + -17.5 = -37.5
-18.75y = -37.5

Divide each side by '-18.75'.
y = 2

Simplifying
y = 2

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