5y=.75(6y+9)

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Solution for 5y=.75(6y+9) equation:


Simplifying
5y = 0.75(6y + 9)

Reorder the terms:
5y = 0.75(9 + 6y)
5y = (9 * 0.75 + 6y * 0.75)
5y = (6.75 + 4.5y)

Solving
5y = 6.75 + 4.5y

Solving for variable 'y'.

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

Add '-4.5y' to each side of the equation.
5y + -4.5y = 6.75 + 4.5y + -4.5y

Combine like terms: 5y + -4.5y = 0.5y
0.5y = 6.75 + 4.5y + -4.5y

Combine like terms: 4.5y + -4.5y = 0.0
0.5y = 6.75 + 0.0
0.5y = 6.75

Divide each side by '0.5'.
y = 13.5

Simplifying
y = 13.5

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