y-5=3-9(y-2)

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Solution for y-5=3-9(y-2) equation:


Simplifying
y + -5 = 3 + -9(y + -2)

Reorder the terms:
-5 + y = 3 + -9(y + -2)

Reorder the terms:
-5 + y = 3 + -9(-2 + y)
-5 + y = 3 + (-2 * -9 + y * -9)
-5 + y = 3 + (18 + -9y)

Combine like terms: 3 + 18 = 21
-5 + y = 21 + -9y

Solving
-5 + y = 21 + -9y

Solving for variable 'y'.

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

Add '9y' to each side of the equation.
-5 + y + 9y = 21 + -9y + 9y

Combine like terms: y + 9y = 10y
-5 + 10y = 21 + -9y + 9y

Combine like terms: -9y + 9y = 0
-5 + 10y = 21 + 0
-5 + 10y = 21

Add '5' to each side of the equation.
-5 + 5 + 10y = 21 + 5

Combine like terms: -5 + 5 = 0
0 + 10y = 21 + 5
10y = 21 + 5

Combine like terms: 21 + 5 = 26
10y = 26

Divide each side by '10'.
y = 2.6

Simplifying
y = 2.6

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