4(y+8)=9y+22

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Solution for 4(y+8)=9y+22 equation: 


Simplifying
4(y + 8) = 9y + 22

Reorder the terms:
4(8 + y) = 9y + 22
(8 * 4 + y * 4) = 9y + 22
(32 + 4y) = 9y + 22

Reorder the terms:
32 + 4y = 22 + 9y

Solving
32 + 4y = 22 + 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.
32 + 4y + -9y = 22 + 9y + -9y

Combine like terms: 4y + -9y = -5y
32 + -5y = 22 + 9y + -9y

Combine like terms: 9y + -9y = 0
32 + -5y = 22 + 0
32 + -5y = 22

Add '-32' to each side of the equation.
32 + -32 + -5y = 22 + -32

Combine like terms: 32 + -32 = 0
0 + -5y = 22 + -32
-5y = 22 + -32

Combine like terms: 22 + -32 = -10
-5y = -10

Divide each side by '-5'.
y = 2

Simplifying
y = 2

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