(-6y+4)-(-5y-7)=3

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Solution for (-6y+4)-(-5y-7)=3 equation:


Simplifying
(-6y + 4) + -1(-5y + -7) = 3

Reorder the terms:
(4 + -6y) + -1(-5y + -7) = 3

Remove parenthesis around (4 + -6y)
4 + -6y + -1(-5y + -7) = 3

Reorder the terms:
4 + -6y + -1(-7 + -5y) = 3
4 + -6y + (-7 * -1 + -5y * -1) = 3
4 + -6y + (7 + 5y) = 3

Reorder the terms:
4 + 7 + -6y + 5y = 3

Combine like terms: 4 + 7 = 11
11 + -6y + 5y = 3

Combine like terms: -6y + 5y = -1y
11 + -1y = 3

Solving
11 + -1y = 3

Solving for variable 'y'.

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

Add '-11' to each side of the equation.
11 + -11 + -1y = 3 + -11

Combine like terms: 11 + -11 = 0
0 + -1y = 3 + -11
-1y = 3 + -11

Combine like terms: 3 + -11 = -8
-1y = -8

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

Simplifying
y = 8

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