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

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


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

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

Combine like terms: 2 + 4 = 6
6 + -2y = 4y + -7

Reorder the terms:
6 + -2y = -7 + 4y

Solving
6 + -2y = -7 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
6 + -2y + -4y = -7 + 4y + -4y

Combine like terms: -2y + -4y = -6y
6 + -6y = -7 + 4y + -4y

Combine like terms: 4y + -4y = 0
6 + -6y = -7 + 0
6 + -6y = -7

Add '-6' to each side of the equation.
6 + -6 + -6y = -7 + -6

Combine like terms: 6 + -6 = 0
0 + -6y = -7 + -6
-6y = -7 + -6

Combine like terms: -7 + -6 = -13
-6y = -13

Divide each side by '-6'.
y = 2.166666667

Simplifying
y = 2.166666667

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