4y-9=2(y+4)

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Solution for 4y-9=2(y+4) equation:


Simplifying
4y + -9 = 2(y + 4)

Reorder the terms:
-9 + 4y = 2(y + 4)

Reorder the terms:
-9 + 4y = 2(4 + y)
-9 + 4y = (4 * 2 + y * 2)
-9 + 4y = (8 + 2y)

Solving
-9 + 4y = 8 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-9 + 4y + -2y = 8 + 2y + -2y

Combine like terms: 4y + -2y = 2y
-9 + 2y = 8 + 2y + -2y

Combine like terms: 2y + -2y = 0
-9 + 2y = 8 + 0
-9 + 2y = 8

Add '9' to each side of the equation.
-9 + 9 + 2y = 8 + 9

Combine like terms: -9 + 9 = 0
0 + 2y = 8 + 9
2y = 8 + 9

Combine like terms: 8 + 9 = 17
2y = 17

Divide each side by '2'.
y = 8.5

Simplifying
y = 8.5

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