4y+2=2(y-5)

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


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

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

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

Solving
2 + 4y = -10 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
2 + 4y + -2y = -10 + 2y + -2y

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

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

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

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

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

Divide each side by '2'.
y = -6

Simplifying
y = -6

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