(4y+16)+6=(9y-3)-2

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Solution for (4y+16)+6=(9y-3)-2 equation:


Simplifying
(4y + 16) + 6 = (9y + -3) + -2

Reorder the terms:
(16 + 4y) + 6 = (9y + -3) + -2

Remove parenthesis around (16 + 4y)
16 + 4y + 6 = (9y + -3) + -2

Reorder the terms:
16 + 6 + 4y = (9y + -3) + -2

Combine like terms: 16 + 6 = 22
22 + 4y = (9y + -3) + -2

Reorder the terms:
22 + 4y = (-3 + 9y) + -2

Remove parenthesis around (-3 + 9y)
22 + 4y = -3 + 9y + -2

Reorder the terms:
22 + 4y = -3 + -2 + 9y

Combine like terms: -3 + -2 = -5
22 + 4y = -5 + 9y

Solving
22 + 4y = -5 + 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.
22 + 4y + -9y = -5 + 9y + -9y

Combine like terms: 4y + -9y = -5y
22 + -5y = -5 + 9y + -9y

Combine like terms: 9y + -9y = 0
22 + -5y = -5 + 0
22 + -5y = -5

Add '-22' to each side of the equation.
22 + -22 + -5y = -5 + -22

Combine like terms: 22 + -22 = 0
0 + -5y = -5 + -22
-5y = -5 + -22

Combine like terms: -5 + -22 = -27
-5y = -27

Divide each side by '-5'.
y = 5.4

Simplifying
y = 5.4

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