8(y-4)=5(y-13)

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Solution for 8(y-4)=5(y-13) equation:


Simplifying
8(y + -4) = 5(y + -13)

Reorder the terms:
8(-4 + y) = 5(y + -13)
(-4 * 8 + y * 8) = 5(y + -13)
(-32 + 8y) = 5(y + -13)

Reorder the terms:
-32 + 8y = 5(-13 + y)
-32 + 8y = (-13 * 5 + y * 5)
-32 + 8y = (-65 + 5y)

Solving
-32 + 8y = -65 + 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.
-32 + 8y + -5y = -65 + 5y + -5y

Combine like terms: 8y + -5y = 3y
-32 + 3y = -65 + 5y + -5y

Combine like terms: 5y + -5y = 0
-32 + 3y = -65 + 0
-32 + 3y = -65

Add '32' to each side of the equation.
-32 + 32 + 3y = -65 + 32

Combine like terms: -32 + 32 = 0
0 + 3y = -65 + 32
3y = -65 + 32

Combine like terms: -65 + 32 = -33
3y = -33

Divide each side by '3'.
y = -11

Simplifying
y = -11

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