7-(4y-4)=2-5y

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Solution for 7-(4y-4)=2-5y equation:


Simplifying
7 + -1(4y + -4) = 2 + -5y

Reorder the terms:
7 + -1(-4 + 4y) = 2 + -5y
7 + (-4 * -1 + 4y * -1) = 2 + -5y
7 + (4 + -4y) = 2 + -5y

Combine like terms: 7 + 4 = 11
11 + -4y = 2 + -5y

Solving
11 + -4y = 2 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
11 + -4y + 5y = 2 + -5y + 5y

Combine like terms: -4y + 5y = 1y
11 + 1y = 2 + -5y + 5y

Combine like terms: -5y + 5y = 0
11 + 1y = 2 + 0
11 + 1y = 2

Add '-11' to each side of the equation.
11 + -11 + 1y = 2 + -11

Combine like terms: 11 + -11 = 0
0 + 1y = 2 + -11
1y = 2 + -11

Combine like terms: 2 + -11 = -9
1y = -9

Divide each side by '1'.
y = -9

Simplifying
y = -9

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