2[5-(3y+7)]-16=4(5-y)

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Solution for 2[5-(3y+7)]-16=4(5-y) equation: 


Simplifying
2[5 + -1(3y + 7)] + -16 = 4(5 + -1y)

Reorder the terms:
2[5 + -1(7 + 3y)] + -16 = 4(5 + -1y)
2[5 + (7 * -1 + 3y * -1)] + -16 = 4(5 + -1y)
2[5 + (-7 + -3y)] + -16 = 4(5 + -1y)

Combine like terms: 5 + -7 = -2
2[-2 + -3y] + -16 = 4(5 + -1y)
[-2 * 2 + -3y * 2] + -16 = 4(5 + -1y)
[-4 + -6y] + -16 = 4(5 + -1y)

Reorder the terms:
-4 + -16 + -6y = 4(5 + -1y)

Combine like terms: -4 + -16 = -20
-20 + -6y = 4(5 + -1y)
-20 + -6y = (5 * 4 + -1y * 4)
-20 + -6y = (20 + -4y)

Solving
-20 + -6y = 20 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
-20 + -6y + 4y = 20 + -4y + 4y

Combine like terms: -6y + 4y = -2y
-20 + -2y = 20 + -4y + 4y

Combine like terms: -4y + 4y = 0
-20 + -2y = 20 + 0
-20 + -2y = 20

Add '20' to each side of the equation.
-20 + 20 + -2y = 20 + 20

Combine like terms: -20 + 20 = 0
0 + -2y = 20 + 20
-2y = 20 + 20

Combine like terms: 20 + 20 = 40
-2y = 40

Divide each side by '-2'.
y = -20

Simplifying
y = -20

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