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

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


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

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

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

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

Solving
10 + 2y = -2

Solving for variable 'y'.

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

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

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

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

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

Simplifying
y = -6

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