2y-3(2y+4)=16

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Solution for 2y-3(2y+4)=16 equation:


Simplifying
2y + -3(2y + 4) = 16

Reorder the terms:
2y + -3(4 + 2y) = 16
2y + (4 * -3 + 2y * -3) = 16
2y + (-12 + -6y) = 16

Reorder the terms:
-12 + 2y + -6y = 16

Combine like terms: 2y + -6y = -4y
-12 + -4y = 16

Solving
-12 + -4y = 16

Solving for variable 'y'.

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

Add '12' to each side of the equation.
-12 + 12 + -4y = 16 + 12

Combine like terms: -12 + 12 = 0
0 + -4y = 16 + 12
-4y = 16 + 12

Combine like terms: 16 + 12 = 28
-4y = 28

Divide each side by '-4'.
y = -7

Simplifying
y = -7

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