8y-2(3-y)=1+y-(2y+4)

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Solution for 8y-2(3-y)=1+y-(2y+4) equation:


Simplifying
8y + -2(3 + -1y) = 1 + y + -1(2y + 4)
8y + (3 * -2 + -1y * -2) = 1 + y + -1(2y + 4)
8y + (-6 + 2y) = 1 + y + -1(2y + 4)

Reorder the terms:
-6 + 8y + 2y = 1 + y + -1(2y + 4)

Combine like terms: 8y + 2y = 10y
-6 + 10y = 1 + y + -1(2y + 4)

Reorder the terms:
-6 + 10y = 1 + y + -1(4 + 2y)
-6 + 10y = 1 + y + (4 * -1 + 2y * -1)
-6 + 10y = 1 + y + (-4 + -2y)

Reorder the terms:
-6 + 10y = 1 + -4 + y + -2y

Combine like terms: 1 + -4 = -3
-6 + 10y = -3 + y + -2y

Combine like terms: y + -2y = -1y
-6 + 10y = -3 + -1y

Solving
-6 + 10y = -3 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-6 + 10y + y = -3 + -1y + y

Combine like terms: 10y + y = 11y
-6 + 11y = -3 + -1y + y

Combine like terms: -1y + y = 0
-6 + 11y = -3 + 0
-6 + 11y = -3

Add '6' to each side of the equation.
-6 + 6 + 11y = -3 + 6

Combine like terms: -6 + 6 = 0
0 + 11y = -3 + 6
11y = -3 + 6

Combine like terms: -3 + 6 = 3
11y = 3

Divide each side by '11'.
y = 0.2727272727

Simplifying
y = 0.2727272727

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