11=3y+4(y+8)

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Solution for 11=3y+4(y+8) equation: 


Simplifying
11 = 3y + 4(y + 8)

Reorder the terms:
11 = 3y + 4(8 + y)
11 = 3y + (8 * 4 + y * 4)
11 = 3y + (32 + 4y)

Reorder the terms:
11 = 32 + 3y + 4y

Combine like terms: 3y + 4y = 7y
11 = 32 + 7y

Solving
11 = 32 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
11 + -7y = 32 + 7y + -7y

Combine like terms: 7y + -7y = 0
11 + -7y = 32 + 0
11 + -7y = 32

Add '-11' to each side of the equation.
11 + -11 + -7y = 32 + -11

Combine like terms: 11 + -11 = 0
0 + -7y = 32 + -11
-7y = 32 + -11

Combine like terms: 32 + -11 = 21
-7y = 21

Divide each side by '-7'.
y = -3

Simplifying
y = -3

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