-2(y+4)+6y=(y-3)

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Solution for -2(y+4)+6y=(y-3) equation:


Simplifying
-2(y + 4) + 6y = (y + -3)

Reorder the terms:
-2(4 + y) + 6y = (y + -3)
(4 * -2 + y * -2) + 6y = (y + -3)
(-8 + -2y) + 6y = (y + -3)

Combine like terms: -2y + 6y = 4y
-8 + 4y = (y + -3)

Reorder the terms:
-8 + 4y = (-3 + y)

Remove parenthesis around (-3 + y)
-8 + 4y = -3 + y

Solving
-8 + 4y = -3 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-8 + 4y + -1y = -3 + y + -1y

Combine like terms: 4y + -1y = 3y
-8 + 3y = -3 + y + -1y

Combine like terms: y + -1y = 0
-8 + 3y = -3 + 0
-8 + 3y = -3

Add '8' to each side of the equation.
-8 + 8 + 3y = -3 + 8

Combine like terms: -8 + 8 = 0
0 + 3y = -3 + 8
3y = -3 + 8

Combine like terms: -3 + 8 = 5
3y = 5

Divide each side by '3'.
y = 1.666666667

Simplifying
y = 1.666666667

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