14y-[10(8-y)-2]=6y+3(4-4y)

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Solution for 14y-[10(8-y)-2]=6y+3(4-4y) equation:


Simplifying
14y + -1[10(8 + -1y) + -2] = 6y + 3(4 + -4y)
14y + -1[(8 * 10 + -1y * 10) + -2] = 6y + 3(4 + -4y)
14y + -1[(80 + -10y) + -2] = 6y + 3(4 + -4y)

Reorder the terms:
14y + -1[80 + -2 + -10y] = 6y + 3(4 + -4y)

Combine like terms: 80 + -2 = 78
14y + -1[78 + -10y] = 6y + 3(4 + -4y)
14y + [78 * -1 + -10y * -1] = 6y + 3(4 + -4y)
14y + [-78 + 10y] = 6y + 3(4 + -4y)

Reorder the terms:
-78 + 14y + 10y = 6y + 3(4 + -4y)

Combine like terms: 14y + 10y = 24y
-78 + 24y = 6y + 3(4 + -4y)
-78 + 24y = 6y + (4 * 3 + -4y * 3)
-78 + 24y = 6y + (12 + -12y)

Reorder the terms:
-78 + 24y = 12 + 6y + -12y

Combine like terms: 6y + -12y = -6y
-78 + 24y = 12 + -6y

Solving
-78 + 24y = 12 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
-78 + 24y + 6y = 12 + -6y + 6y

Combine like terms: 24y + 6y = 30y
-78 + 30y = 12 + -6y + 6y

Combine like terms: -6y + 6y = 0
-78 + 30y = 12 + 0
-78 + 30y = 12

Add '78' to each side of the equation.
-78 + 78 + 30y = 12 + 78

Combine like terms: -78 + 78 = 0
0 + 30y = 12 + 78
30y = 12 + 78

Combine like terms: 12 + 78 = 90
30y = 90

Divide each side by '30'.
y = 3

Simplifying
y = 3

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