(-4y+4)-(3y-8)=-2

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Solution for (-4y+4)-(3y-8)=-2 equation:


Simplifying
(-4y + 4) + -1(3y + -8) = -2

Reorder the terms:
(4 + -4y) + -1(3y + -8) = -2

Remove parenthesis around (4 + -4y)
4 + -4y + -1(3y + -8) = -2

Reorder the terms:
4 + -4y + -1(-8 + 3y) = -2
4 + -4y + (-8 * -1 + 3y * -1) = -2
4 + -4y + (8 + -3y) = -2

Reorder the terms:
4 + 8 + -4y + -3y = -2

Combine like terms: 4 + 8 = 12
12 + -4y + -3y = -2

Combine like terms: -4y + -3y = -7y
12 + -7y = -2

Solving
12 + -7y = -2

Solving for variable 'y'.

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

Add '-12' to each side of the equation.
12 + -12 + -7y = -2 + -12

Combine like terms: 12 + -12 = 0
0 + -7y = -2 + -12
-7y = -2 + -12

Combine like terms: -2 + -12 = -14
-7y = -14

Divide each side by '-7'.
y = 2

Simplifying
y = 2

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