2y-2(2y-3)+2=31

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Solution for 2y-2(2y-3)+2=31 equation:


Simplifying
2y + -2(2y + -3) + 2 = 31

Reorder the terms:
2y + -2(-3 + 2y) + 2 = 31
2y + (-3 * -2 + 2y * -2) + 2 = 31
2y + (6 + -4y) + 2 = 31

Reorder the terms:
6 + 2 + 2y + -4y = 31

Combine like terms: 6 + 2 = 8
8 + 2y + -4y = 31

Combine like terms: 2y + -4y = -2y
8 + -2y = 31

Solving
8 + -2y = 31

Solving for variable 'y'.

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

Add '-8' to each side of the equation.
8 + -8 + -2y = 31 + -8

Combine like terms: 8 + -8 = 0
0 + -2y = 31 + -8
-2y = 31 + -8

Combine like terms: 31 + -8 = 23
-2y = 23

Divide each side by '-2'.
y = -11.5

Simplifying
y = -11.5

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