5(y-2)=9-2y

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


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

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

Solving
-10 + 5y = 9 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-10 + 5y + 2y = 9 + -2y + 2y

Combine like terms: 5y + 2y = 7y
-10 + 7y = 9 + -2y + 2y

Combine like terms: -2y + 2y = 0
-10 + 7y = 9 + 0
-10 + 7y = 9

Add '10' to each side of the equation.
-10 + 10 + 7y = 9 + 10

Combine like terms: -10 + 10 = 0
0 + 7y = 9 + 10
7y = 9 + 10

Combine like terms: 9 + 10 = 19
7y = 19

Divide each side by '7'.
y = 2.714285714

Simplifying
y = 2.714285714

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