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

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


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

Reorder the terms:
2y + -3(-3 + 2y) = 31
2y + (-3 * -3 + 2y * -3) = 31
2y + (9 + -6y) = 31

Reorder the terms:
9 + 2y + -6y = 31

Combine like terms: 2y + -6y = -4y
9 + -4y = 31

Solving
9 + -4y = 31

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 + -4y = 31 + -9

Combine like terms: 9 + -9 = 0
0 + -4y = 31 + -9
-4y = 31 + -9

Combine like terms: 31 + -9 = 22
-4y = 22

Divide each side by '-4'.
y = -5.5

Simplifying
y = -5.5

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