7y-3(1-y)-y=6

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Solution for 7y-3(1-y)-y=6 equation:


Simplifying
7y + -3(1 + -1y) + -1y = 6
7y + (1 * -3 + -1y * -3) + -1y = 6
7y + (-3 + 3y) + -1y = 6

Reorder the terms:
-3 + 7y + 3y + -1y = 6

Combine like terms: 7y + 3y = 10y
-3 + 10y + -1y = 6

Combine like terms: 10y + -1y = 9y
-3 + 9y = 6

Solving
-3 + 9y = 6

Solving for variable 'y'.

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

Add '3' to each side of the equation.
-3 + 3 + 9y = 6 + 3

Combine like terms: -3 + 3 = 0
0 + 9y = 6 + 3
9y = 6 + 3

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

Divide each side by '9'.
y = 1

Simplifying
y = 1

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