11(2y-3)=2(4y-16)

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Solution for 11(2y-3)=2(4y-16) equation:


Simplifying
11(2y + -3) = 2(4y + -16)

Reorder the terms:
11(-3 + 2y) = 2(4y + -16)
(-3 * 11 + 2y * 11) = 2(4y + -16)
(-33 + 22y) = 2(4y + -16)

Reorder the terms:
-33 + 22y = 2(-16 + 4y)
-33 + 22y = (-16 * 2 + 4y * 2)
-33 + 22y = (-32 + 8y)

Solving
-33 + 22y = -32 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-33 + 22y + -8y = -32 + 8y + -8y

Combine like terms: 22y + -8y = 14y
-33 + 14y = -32 + 8y + -8y

Combine like terms: 8y + -8y = 0
-33 + 14y = -32 + 0
-33 + 14y = -32

Add '33' to each side of the equation.
-33 + 33 + 14y = -32 + 33

Combine like terms: -33 + 33 = 0
0 + 14y = -32 + 33
14y = -32 + 33

Combine like terms: -32 + 33 = 1
14y = 1

Divide each side by '14'.
y = 0.07142857143

Simplifying
y = 0.07142857143

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