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

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


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

Reorder the terms:
2y + (8 + -1y) = (2 + -1 + 3)(y + 4)

Remove parenthesis around (8 + -1y)
2y + 8 + -1y = (2 + -1 + 3)(y + 4)

Reorder the terms:
8 + 2y + -1y = (2 + -1 + 3)(y + 4)

Combine like terms: 2y + -1y = 1y
8 + 1y = (2 + -1 + 3)(y + 4)

Combine like terms: 2 + -1 = 1
8 + 1y = (1 + 3)(y + 4)

Combine like terms: 1 + 3 = 4
8 + 1y = (4)(y + 4)

Reorder the terms:
8 + 1y = 4(4 + y)
8 + 1y = (4 * 4 + y * 4)
8 + 1y = (16 + 4y)

Solving
8 + 1y = 16 + 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.
8 + 1y + -4y = 16 + 4y + -4y

Combine like terms: 1y + -4y = -3y
8 + -3y = 16 + 4y + -4y

Combine like terms: 4y + -4y = 0
8 + -3y = 16 + 0
8 + -3y = 16

Add '-8' to each side of the equation.
8 + -8 + -3y = 16 + -8

Combine like terms: 8 + -8 = 0
0 + -3y = 16 + -8
-3y = 16 + -8

Combine like terms: 16 + -8 = 8
-3y = 8

Divide each side by '-3'.
y = -2.666666667

Simplifying
y = -2.666666667

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