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

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


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

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

Remove parenthesis around (-6 + 6y)
-6 + 6y + -1(3 + 5y) = 6
-6 + 6y + (3 * -1 + 5y * -1) = 6
-6 + 6y + (-3 + -5y) = 6

Reorder the terms:
-6 + -3 + 6y + -5y = 6

Combine like terms: -6 + -3 = -9
-9 + 6y + -5y = 6

Combine like terms: 6y + -5y = 1y
-9 + 1y = 6

Solving
-9 + 1y = 6

Solving for variable 'y'.

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

Add '9' to each side of the equation.
-9 + 9 + 1y = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 1y = 6 + 9
1y = 6 + 9

Combine like terms: 6 + 9 = 15
1y = 15

Divide each side by '1'.
y = 15

Simplifying
y = 15

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