(4-5y)-(-6y+2)=0

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Solution for (4-5y)-(-6y+2)=0 equation:


Simplifying
(4 + -5y) + -1(-6y + 2) = 0

Remove parenthesis around (4 + -5y)
4 + -5y + -1(-6y + 2) = 0

Reorder the terms:
4 + -5y + -1(2 + -6y) = 0
4 + -5y + (2 * -1 + -6y * -1) = 0
4 + -5y + (-2 + 6y) = 0

Reorder the terms:
4 + -2 + -5y + 6y = 0

Combine like terms: 4 + -2 = 2
2 + -5y + 6y = 0

Combine like terms: -5y + 6y = 1y
2 + 1y = 0

Solving
2 + 1y = 0

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + 1y = 0 + -2

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

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

Divide each side by '1'.
y = -2

Simplifying
y = -2

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