4y+16=9(y-1)

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Solution for 4y+16=9(y-1) equation:


Simplifying
4y + 16 = 9(y + -1)

Reorder the terms:
16 + 4y = 9(y + -1)

Reorder the terms:
16 + 4y = 9(-1 + y)
16 + 4y = (-1 * 9 + y * 9)
16 + 4y = (-9 + 9y)

Solving
16 + 4y = -9 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
16 + 4y + -9y = -9 + 9y + -9y

Combine like terms: 4y + -9y = -5y
16 + -5y = -9 + 9y + -9y

Combine like terms: 9y + -9y = 0
16 + -5y = -9 + 0
16 + -5y = -9

Add '-16' to each side of the equation.
16 + -16 + -5y = -9 + -16

Combine like terms: 16 + -16 = 0
0 + -5y = -9 + -16
-5y = -9 + -16

Combine like terms: -9 + -16 = -25
-5y = -25

Divide each side by '-5'.
y = 5

Simplifying
y = 5

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