6y=5(y+9)

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Solution for 6y=5(y+9) equation: 


Simplifying
6y = 5(y + 9)

Reorder the terms:
6y = 5(9 + y)
6y = (9 * 5 + y * 5)
6y = (45 + 5y)

Solving
6y = 45 + 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.
6y + -5y = 45 + 5y + -5y

Combine like terms: 6y + -5y = 1y
1y = 45 + 5y + -5y

Combine like terms: 5y + -5y = 0
1y = 45 + 0
1y = 45

Divide each side by '1'.
y = 45

Simplifying
y = 45

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