(-7y+2)-(-6y-4)=-2

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Solution for (-7y+2)-(-6y-4)=-2 equation:


Simplifying
(-7y + 2) + -1(-6y + -4) = -2

Reorder the terms:
(2 + -7y) + -1(-6y + -4) = -2

Remove parenthesis around (2 + -7y)
2 + -7y + -1(-6y + -4) = -2

Reorder the terms:
2 + -7y + -1(-4 + -6y) = -2
2 + -7y + (-4 * -1 + -6y * -1) = -2
2 + -7y + (4 + 6y) = -2

Reorder the terms:
2 + 4 + -7y + 6y = -2

Combine like terms: 2 + 4 = 6
6 + -7y + 6y = -2

Combine like terms: -7y + 6y = -1y
6 + -1y = -2

Solving
6 + -1y = -2

Solving for variable 'y'.

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

Add '-6' to each side of the equation.
6 + -6 + -1y = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = -2 + -6
-1y = -2 + -6

Combine like terms: -2 + -6 = -8
-1y = -8

Divide each side by '-1'.
y = 8

Simplifying
y = 8

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