7y-14=3(y+6)

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


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

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

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

Solving
-14 + 7y = 18 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-14 + 7y + -3y = 18 + 3y + -3y

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

Combine like terms: 3y + -3y = 0
-14 + 4y = 18 + 0
-14 + 4y = 18

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

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

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

Divide each side by '4'.
y = 8

Simplifying
y = 8

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