6(y-9)=5(y-7)

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Solution for 6(y-9)=5(y-7) equation:


Simplifying
6(y + -9) = 5(y + -7)

Reorder the terms:
6(-9 + y) = 5(y + -7)
(-9 * 6 + y * 6) = 5(y + -7)
(-54 + 6y) = 5(y + -7)

Reorder the terms:
-54 + 6y = 5(-7 + y)
-54 + 6y = (-7 * 5 + y * 5)
-54 + 6y = (-35 + 5y)

Solving
-54 + 6y = -35 + 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.
-54 + 6y + -5y = -35 + 5y + -5y

Combine like terms: 6y + -5y = 1y
-54 + 1y = -35 + 5y + -5y

Combine like terms: 5y + -5y = 0
-54 + 1y = -35 + 0
-54 + 1y = -35

Add '54' to each side of the equation.
-54 + 54 + 1y = -35 + 54

Combine like terms: -54 + 54 = 0
0 + 1y = -35 + 54
1y = -35 + 54

Combine like terms: -35 + 54 = 19
1y = 19

Divide each side by '1'.
y = 19

Simplifying
y = 19

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