5-(y-3(2y-2))=6

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Solution for 5-(y-3(2y-2))=6 equation:


Simplifying
5 + -1(y + -3(2y + -2)) = 6

Reorder the terms:
5 + -1(y + -3(-2 + 2y)) = 6
5 + -1(y + (-2 * -3 + 2y * -3)) = 6
5 + -1(y + (6 + -6y)) = 6

Reorder the terms:
5 + -1(6 + y + -6y) = 6

Combine like terms: y + -6y = -5y
5 + -1(6 + -5y) = 6
5 + (6 * -1 + -5y * -1) = 6
5 + (-6 + 5y) = 6

Combine like terms: 5 + -6 = -1
-1 + 5y = 6

Solving
-1 + 5y = 6

Solving for variable 'y'.

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

Add '1' to each side of the equation.
-1 + 1 + 5y = 6 + 1

Combine like terms: -1 + 1 = 0
0 + 5y = 6 + 1
5y = 6 + 1

Combine like terms: 6 + 1 = 7
5y = 7

Divide each side by '5'.
y = 1.4

Simplifying
y = 1.4

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