-4(2y-9)+4(y+6)=16

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Solution for -4(2y-9)+4(y+6)=16 equation:


Simplifying
-4(2y + -9) + 4(y + 6) = 16

Reorder the terms:
-4(-9 + 2y) + 4(y + 6) = 16
(-9 * -4 + 2y * -4) + 4(y + 6) = 16
(36 + -8y) + 4(y + 6) = 16

Reorder the terms:
36 + -8y + 4(6 + y) = 16
36 + -8y + (6 * 4 + y * 4) = 16
36 + -8y + (24 + 4y) = 16

Reorder the terms:
36 + 24 + -8y + 4y = 16

Combine like terms: 36 + 24 = 60
60 + -8y + 4y = 16

Combine like terms: -8y + 4y = -4y
60 + -4y = 16

Solving
60 + -4y = 16

Solving for variable 'y'.

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

Add '-60' to each side of the equation.
60 + -60 + -4y = 16 + -60

Combine like terms: 60 + -60 = 0
0 + -4y = 16 + -60
-4y = 16 + -60

Combine like terms: 16 + -60 = -44
-4y = -44

Divide each side by '-4'.
y = 11

Simplifying
y = 11

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