4(y-1)=2(y+1)+16

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Solution for 4(y-1)=2(y+1)+16 equation: 


Simplifying
4(y + -1) = 2(y + 1) + 16

Reorder the terms:
4(-1 + y) = 2(y + 1) + 16
(-1 * 4 + y * 4) = 2(y + 1) + 16
(-4 + 4y) = 2(y + 1) + 16

Reorder the terms:
-4 + 4y = 2(1 + y) + 16
-4 + 4y = (1 * 2 + y * 2) + 16
-4 + 4y = (2 + 2y) + 16

Reorder the terms:
-4 + 4y = 2 + 16 + 2y

Combine like terms: 2 + 16 = 18
-4 + 4y = 18 + 2y

Solving
-4 + 4y = 18 + 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.
-4 + 4y + -2y = 18 + 2y + -2y

Combine like terms: 4y + -2y = 2y
-4 + 2y = 18 + 2y + -2y

Combine like terms: 2y + -2y = 0
-4 + 2y = 18 + 0
-4 + 2y = 18

Add '4' to each side of the equation.
-4 + 4 + 2y = 18 + 4

Combine like terms: -4 + 4 = 0
0 + 2y = 18 + 4
2y = 18 + 4

Combine like terms: 18 + 4 = 22
2y = 22

Divide each side by '2'.
y = 11

Simplifying
y = 11

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