9(2y-5)=2(4y-22)

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Solution for 9(2y-5)=2(4y-22) equation:


Simplifying
9(2y + -5) = 2(4y + -22)

Reorder the terms:
9(-5 + 2y) = 2(4y + -22)
(-5 * 9 + 2y * 9) = 2(4y + -22)
(-45 + 18y) = 2(4y + -22)

Reorder the terms:
-45 + 18y = 2(-22 + 4y)
-45 + 18y = (-22 * 2 + 4y * 2)
-45 + 18y = (-44 + 8y)

Solving
-45 + 18y = -44 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-45 + 18y + -8y = -44 + 8y + -8y

Combine like terms: 18y + -8y = 10y
-45 + 10y = -44 + 8y + -8y

Combine like terms: 8y + -8y = 0
-45 + 10y = -44 + 0
-45 + 10y = -44

Add '45' to each side of the equation.
-45 + 45 + 10y = -44 + 45

Combine like terms: -45 + 45 = 0
0 + 10y = -44 + 45
10y = -44 + 45

Combine like terms: -44 + 45 = 1
10y = 1

Divide each side by '10'.
y = 0.1

Simplifying
y = 0.1

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