2(5y-5)=9(2y-b)

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Solution for 2(5y-5)=9(2y-b) equation:


Simplifying
2(5y + -5) = 9(2y + -1b)

Reorder the terms:
2(-5 + 5y) = 9(2y + -1b)
(-5 * 2 + 5y * 2) = 9(2y + -1b)
(-10 + 10y) = 9(2y + -1b)

Reorder the terms:
-10 + 10y = 9(-1b + 2y)
-10 + 10y = (-1b * 9 + 2y * 9)
-10 + 10y = (-9b + 18y)

Solving
-10 + 10y = -9b + 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.
-10 + 10y + -18y = -9b + 18y + -18y

Combine like terms: 10y + -18y = -8y
-10 + -8y = -9b + 18y + -18y

Combine like terms: 18y + -18y = 0
-10 + -8y = -9b + 0
-10 + -8y = -9b

Add '10' to each side of the equation.
-10 + 10 + -8y = 10 + -9b

Combine like terms: -10 + 10 = 0
0 + -8y = 10 + -9b
-8y = 10 + -9b

Divide each side by '-8'.
y = -1.25 + 1.125b

Simplifying
y = -1.25 + 1.125b

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