2.5(y+9)=4y+9

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Solution for 2.5(y+9)=4y+9 equation:


Simplifying
2.5(y + 9) = 4y + 9

Reorder the terms:
2.5(9 + y) = 4y + 9
(9 * 2.5 + y * 2.5) = 4y + 9
(22.5 + 2.5y) = 4y + 9

Reorder the terms:
22.5 + 2.5y = 9 + 4y

Solving
22.5 + 2.5y = 9 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
22.5 + 2.5y + -4y = 9 + 4y + -4y

Combine like terms: 2.5y + -4y = -1.5y
22.5 + -1.5y = 9 + 4y + -4y

Combine like terms: 4y + -4y = 0
22.5 + -1.5y = 9 + 0
22.5 + -1.5y = 9

Add '-22.5' to each side of the equation.
22.5 + -22.5 + -1.5y = 9 + -22.5

Combine like terms: 22.5 + -22.5 = 0.0
0.0 + -1.5y = 9 + -22.5
-1.5y = 9 + -22.5

Combine like terms: 9 + -22.5 = -13.5
-1.5y = -13.5

Divide each side by '-1.5'.
y = 9

Simplifying
y = 9

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