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 = 4y
3 + 4y + -1y = -6

Combine like terms: 4y + -1y = 3y
3 + 3y = -6

Solving
3 + 3y = -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 + 3y = -6 + -3

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

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

Divide each side by '3'.
y = -3

Simplifying
y = -3

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