13(y-4)-3(y-9)=5(y-4)

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Solution for 13(y-4)-3(y-9)=5(y-4) equation:


Simplifying
13(y + -4) + -3(y + -9) = 5(y + -4)

Reorder the terms:
13(-4 + y) + -3(y + -9) = 5(y + -4)
(-4 * 13 + y * 13) + -3(y + -9) = 5(y + -4)
(-52 + 13y) + -3(y + -9) = 5(y + -4)

Reorder the terms:
-52 + 13y + -3(-9 + y) = 5(y + -4)
-52 + 13y + (-9 * -3 + y * -3) = 5(y + -4)
-52 + 13y + (27 + -3y) = 5(y + -4)

Reorder the terms:
-52 + 27 + 13y + -3y = 5(y + -4)

Combine like terms: -52 + 27 = -25
-25 + 13y + -3y = 5(y + -4)

Combine like terms: 13y + -3y = 10y
-25 + 10y = 5(y + -4)

Reorder the terms:
-25 + 10y = 5(-4 + y)
-25 + 10y = (-4 * 5 + y * 5)
-25 + 10y = (-20 + 5y)

Solving
-25 + 10y = -20 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-25 + 10y + -5y = -20 + 5y + -5y

Combine like terms: 10y + -5y = 5y
-25 + 5y = -20 + 5y + -5y

Combine like terms: 5y + -5y = 0
-25 + 5y = -20 + 0
-25 + 5y = -20

Add '25' to each side of the equation.
-25 + 25 + 5y = -20 + 25

Combine like terms: -25 + 25 = 0
0 + 5y = -20 + 25
5y = -20 + 25

Combine like terms: -20 + 25 = 5
5y = 5

Divide each side by '5'.
y = 1

Simplifying
y = 1

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