(-4y+4)-(-3y-6)=-2

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Solution for (-4y+4)-(-3y-6)=-2 equation:


Simplifying
(-4y + 4) + -1(-3y + -6) = -2

Reorder the terms:
(4 + -4y) + -1(-3y + -6) = -2

Remove parenthesis around (4 + -4y)
4 + -4y + -1(-3y + -6) = -2

Reorder the terms:
4 + -4y + -1(-6 + -3y) = -2
4 + -4y + (-6 * -1 + -3y * -1) = -2
4 + -4y + (6 + 3y) = -2

Reorder the terms:
4 + 6 + -4y + 3y = -2

Combine like terms: 4 + 6 = 10
10 + -4y + 3y = -2

Combine like terms: -4y + 3y = -1y
10 + -1y = -2

Solving
10 + -1y = -2

Solving for variable 'y'.

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

Add '-10' to each side of the equation.
10 + -10 + -1y = -2 + -10

Combine like terms: 10 + -10 = 0
0 + -1y = -2 + -10
-1y = -2 + -10

Combine like terms: -2 + -10 = -12
-1y = -12

Divide each side by '-1'.
y = 12

Simplifying
y = 12

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