5(y-2)+2y=9

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


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

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

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

Solving
-10 + 7y = 9

Solving for variable 'y'.

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

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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