5(y-5)=y-9

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


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

Reorder the terms:
5(-5 + y) = y + -9
(-5 * 5 + y * 5) = y + -9
(-25 + 5y) = y + -9

Reorder the terms:
-25 + 5y = -9 + y

Solving
-25 + 5y = -9 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-25 + 5y + -1y = -9 + y + -1y

Combine like terms: 5y + -1y = 4y
-25 + 4y = -9 + y + -1y

Combine like terms: y + -1y = 0
-25 + 4y = -9 + 0
-25 + 4y = -9

Add '25' to each side of the equation.
-25 + 25 + 4y = -9 + 25

Combine like terms: -25 + 25 = 0
0 + 4y = -9 + 25
4y = -9 + 25

Combine like terms: -9 + 25 = 16
4y = 16

Divide each side by '4'.
y = 4

Simplifying
y = 4

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