6(y-8)=5(y-3)

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Solution for 6(y-8)=5(y-3) equation: 


Simplifying
6(y + -8) = 5(y + -3)

Reorder the terms:
6(-8 + y) = 5(y + -3)
(-8 * 6 + y * 6) = 5(y + -3)
(-48 + 6y) = 5(y + -3)

Reorder the terms:
-48 + 6y = 5(-3 + y)
-48 + 6y = (-3 * 5 + y * 5)
-48 + 6y = (-15 + 5y)

Solving
-48 + 6y = -15 + 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.
-48 + 6y + -5y = -15 + 5y + -5y

Combine like terms: 6y + -5y = 1y
-48 + 1y = -15 + 5y + -5y

Combine like terms: 5y + -5y = 0
-48 + 1y = -15 + 0
-48 + 1y = -15

Add '48' to each side of the equation.
-48 + 48 + 1y = -15 + 48

Combine like terms: -48 + 48 = 0
0 + 1y = -15 + 48
1y = -15 + 48

Combine like terms: -15 + 48 = 33
1y = 33

Divide each side by '1'.
y = 33

Simplifying
y = 33

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