51=4(y-2)-2(y+4)

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Solution for 51=4(y-2)-2(y+4) equation: 


Simplifying
51 = 4(y + -2) + -2(y + 4)

Reorder the terms:
51 = 4(-2 + y) + -2(y + 4)
51 = (-2 * 4 + y * 4) + -2(y + 4)
51 = (-8 + 4y) + -2(y + 4)

Reorder the terms:
51 = -8 + 4y + -2(4 + y)
51 = -8 + 4y + (4 * -2 + y * -2)
51 = -8 + 4y + (-8 + -2y)

Reorder the terms:
51 = -8 + -8 + 4y + -2y

Combine like terms: -8 + -8 = -16
51 = -16 + 4y + -2y

Combine like terms: 4y + -2y = 2y
51 = -16 + 2y

Solving
51 = -16 + 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.
51 + -2y = -16 + 2y + -2y

Combine like terms: 2y + -2y = 0
51 + -2y = -16 + 0
51 + -2y = -16

Add '-51' to each side of the equation.
51 + -51 + -2y = -16 + -51

Combine like terms: 51 + -51 = 0
0 + -2y = -16 + -51
-2y = -16 + -51

Combine like terms: -16 + -51 = -67
-2y = -67

Divide each side by '-2'.
y = 33.5

Simplifying
y = 33.5

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