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

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


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

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

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

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

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

Combine like terms: 4 + 5 = 9
9 + -4y + 3y = -5

Combine like terms: -4y + 3y = -1y
9 + -1y = -5

Solving
9 + -1y = -5

Solving for variable 'y'.

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

Add '-9' to each side of the equation.
9 + -9 + -1y = -5 + -9

Combine like terms: 9 + -9 = 0
0 + -1y = -5 + -9
-1y = -5 + -9

Combine like terms: -5 + -9 = -14
-1y = -14

Divide each side by '-1'.
y = 14

Simplifying
y = 14

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