3(y-6)-7y=14

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Solution for 3(y-6)-7y=14 equation: 


Simplifying
3(y + -6) + -7y = 14

Reorder the terms:
3(-6 + y) + -7y = 14
(-6 * 3 + y * 3) + -7y = 14
(-18 + 3y) + -7y = 14

Combine like terms: 3y + -7y = -4y
-18 + -4y = 14

Solving
-18 + -4y = 14

Solving for variable 'y'.

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

Add '18' to each side of the equation.
-18 + 18 + -4y = 14 + 18

Combine like terms: -18 + 18 = 0
0 + -4y = 14 + 18
-4y = 14 + 18

Combine like terms: 14 + 18 = 32
-4y = 32

Divide each side by '-4'.
y = -8

Simplifying
y = -8

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