2(y+5)=-2(6y-1)+4y

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Solution for 2(y+5)=-2(6y-1)+4y equation:


Simplifying
2(y + 5) = -2(6y + -1) + 4y

Reorder the terms:
2(5 + y) = -2(6y + -1) + 4y
(5 * 2 + y * 2) = -2(6y + -1) + 4y
(10 + 2y) = -2(6y + -1) + 4y

Reorder the terms:
10 + 2y = -2(-1 + 6y) + 4y
10 + 2y = (-1 * -2 + 6y * -2) + 4y
10 + 2y = (2 + -12y) + 4y

Combine like terms: -12y + 4y = -8y
10 + 2y = 2 + -8y

Solving
10 + 2y = 2 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
10 + 2y + 8y = 2 + -8y + 8y

Combine like terms: 2y + 8y = 10y
10 + 10y = 2 + -8y + 8y

Combine like terms: -8y + 8y = 0
10 + 10y = 2 + 0
10 + 10y = 2

Add '-10' to each side of the equation.
10 + -10 + 10y = 2 + -10

Combine like terms: 10 + -10 = 0
0 + 10y = 2 + -10
10y = 2 + -10

Combine like terms: 2 + -10 = -8
10y = -8

Divide each side by '10'.
y = -0.8

Simplifying
y = -0.8

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