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:
4y = -10 + -2 + 2y

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

Solving
4y = -12 + 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.
4y + -2y = -12 + 2y + -2y

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

Combine like terms: 2y + -2y = 0
2y = -12 + 0
2y = -12

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

Simplifying
y = -6

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