-2(7y-2)+y=5(y+4)

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Solution for -2(7y-2)+y=5(y+4) equation:


Simplifying
-2(7y + -2) + y = 5(y + 4)

Reorder the terms:
-2(-2 + 7y) + y = 5(y + 4)
(-2 * -2 + 7y * -2) + y = 5(y + 4)
(4 + -14y) + y = 5(y + 4)

Combine like terms: -14y + y = -13y
4 + -13y = 5(y + 4)

Reorder the terms:
4 + -13y = 5(4 + y)
4 + -13y = (4 * 5 + y * 5)
4 + -13y = (20 + 5y)

Solving
4 + -13y = 20 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
4 + -13y + -5y = 20 + 5y + -5y

Combine like terms: -13y + -5y = -18y
4 + -18y = 20 + 5y + -5y

Combine like terms: 5y + -5y = 0
4 + -18y = 20 + 0
4 + -18y = 20

Add '-4' to each side of the equation.
4 + -4 + -18y = 20 + -4

Combine like terms: 4 + -4 = 0
0 + -18y = 20 + -4
-18y = 20 + -4

Combine like terms: 20 + -4 = 16
-18y = 16

Divide each side by '-18'.
y = -0.8888888889

Simplifying
y = -0.8888888889

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